Jürgen Jost
Publikationen

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Telefon:
+49 (0) 341 - 9959 - 550

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+49 (0) 341 - 9959 - 555

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Addresse:
Inselstr. 22
04103 Leipzig
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Geometry, the calculus of variations and geometric analysis

1. Textbooks and monographs

  • N. Ay and J. Jost. Information geometry. Lecture Notes.
  • J. Jost. Geometry and Physics. Springer, 2009. (see TOC)
  • J. Jost. Bosonic Strings: A Mathematical Treatment. AMS International Press, 2001. (see TOC)
  • J. Jost. Partial Differential Equations. Springer, 2002. 2. Auflage 2007. (see TOC)
  • J. Jost. Partielle Differentialgleichungen. Springer, 1998. (see TOC)
  • J. Jost. Nonpositive curvature: Geometric and analytic aspects. Lectures in mathematics: ETH Zürich. Birkhäuser-Verlag, Basel, 1997. (see TOC and errata)
  • J. Jost and X.Q. Li-Jost. Calculus of Variations. Cambridge Univ. Press, 1998. (see TOC and errata)
  • S. Albeverio, J. Jost, S. Paycha, and S. Scarlatti. A mathematical introduction to string theory - variational problems, geometric and probabilistic methods. Number 225 in Lecture Note Series. Cambridge Univ. Press, 1997. London Math. Soc. (see TOC)
  • J. Jost. Postmodern Analysis. Springer, 1998. 2. Auflage 2002, 3. Auflage 2005. (see TOC)
  • J. Jost. Compact Riemann Surfaces. Springer, 1997. 2. Auflage 2002, 3. Auflage 2006. (see TOC)
  • J. Jost. Riemannian Geometry and Geometric Analysis. Springer, 1995. 2. Auflage 1998, 3. Auflage 2002, 4. Auflage 2005, 5. Auflage 2008, 6.Auflage 2011. (see TOC)
  • J. Jost. Differentialgeometrie und Minimalflächen. Springer, 1994. 2. Auflage 2007, mit J.-H. Eschenburg. (see TOC and errata)
  • J. Jost. Two-dimensional geometric variational problems. Wiley- Interscience, Chichester, 1991. (see TOC and errata)
  • J. Jost. Nonlinear methods in Riemannian and Kählerian geometry. Number 10 in DMV-Seminare. Birkhäuser, Basel, Boston, 1988. 2. Auflage 1991. (see TOC)
  • J. Jost. Harmonic mappings between Riemannian manifolds. ANU-Press, Canberra, 1983.
  • J. Jost. Harmonic maps between surfaces. Number 1062 in LNM. Springer, 1984. (see TOC)

2. Harmonic mappings and their generalizations

  • J. Jost. Riemannian Geometry and Geometric Analysis. Springer, 1995. 2. Auflage 1998, 3. Auflage 2002, 4. Auflage 2005, 5. Auflage 2008, 6.Auflage 2011.(see TOC)
  • J. Jost. Nonlinear methods in Riemannian and Kählerian geometry. Number 10 in DMV-Seminare. Birkhäuser, Basel, Boston, 1988. 2. Auflage 1991. (see TOC)
  • J. Jost. Harmonic mappings between Riemannian manifolds. ANU-Press, Canberra, 1983.
  • J. Jost. Harmonic maps between surfaces. Number 1062 in LNM. Springer, 1984. (see TOC)
  • Q. Chen, J. Jost, G.F.Wang, and M.M. Zhu. The boundary value problem for Dirac-harmonic maps.
  • J. Jost, Y.L. Xin, and L. Yang. The Gauss image of entire graphs of higher codimension and Bernstein type theorems.
  • J. Jost, Y.L.Xin, and L. Yang. The regularity of harmonic maps into spheres and applications to Bernstein problems.
  • J. Jost. Harmonic mappings. In L.Z. Ji et al., editor, Handbook of Geometric Analysis, pages 147-194. International Press, 2008.
  • J. Jost and F.M. Şimşir. Affine harmonic maps. Analysis, 26:185-197, 2009.
  • J. Jost, X.H. Mo, and M.M. Zhu. Some explicit constructions of Dirac-harmonic maps. J. of Geometry and Physics, 59:1512-1527, 2009.
  • Q. Chen, J. Jost, and G.F. Wang. Liouville theorems for Dirac-harmonic maps. J. Math. Phys., 48(113517):1-13, 2007.
  • J. Jost and L. Todjihounde. Harmonic nets in metric spaces. Pac.J.Math., (231):437-444, 2007.
  • Q. Chen, J. Jost, J.Y. Li, and G.F. Wang. Dirac-harmonic maps. Math. Z., 254:409-432, 2006.
  • X.L. Han and J. Jost. Dirac-wave maps. Preprint MPI MIS 44/2004.
  • Q. Chen, J. Jost, J.Y. Li, and G.F.Wang. Regularity theorems and energy identities for Dirac-harmonic maps. Math. Z., 251:61-84, 2005.
  • J. Jost and Y.H. Yang. Heat flow for horizontal harmonic maps into a class of Carnot-Caratheodory spaces. Mathematical Research Letters, (12):513-529, 2005. (see PDF, 165 Kb)
  • J. Jost and Y.L. Xin. Bernstein type theorems for higher codimension. Calc. Var., (9):277-296, 1999. (see PDF, 242 Kb)
  • J. Jost. Generalized Dirichlet forms and harmonic maps. Calc. Var., (5):1-19, 1997.
  • J. Jost and J.Y. Li. Finite energy and totally geodesic maps from locally symmetric spaces of finite volume. Calc. Var., (4):409-420, 1996.
  • J. Jost. Nonlinear Dirichlet forms. In J. Jost, W. Kendall, U. Mosco, M. Röckner, and K.Th. Sturm, editors, New directions in Dirichlet forms, pages 1-47. International Press/AMS, 1998. (see TOC and download of chapter 1)
  • J. Jost. Generalized harmonic maps between metric spaces. In J. Jost, editor, Geometric Analysis and the Calculus of Variations for Stefan Hildebrandt, pages 143-174. Intern. Press, 1996.
  • J. Jost and C.J. Xu. Subelliptic harmonic maps. Transactions AMS, (350):4633-4649, 1998.
  • J. Jost and K. Zuo. Harmonic maps of in nite energy and rigidity results for archimedean and nonarchimedean representations of fundamental groups of quasiprojective varieties. J. Diff. Geom., (47):469-503, 1997.
  • J. Jost. Convex functionals and generalized harmonic maps into spaces of non positive curvature. Comment. Math. Helvetici, (70):659-673, 1995.
  • J. Jost. Equilibrium maps between metric spaces. Calc. Var., (2):173-204, 1994.
  • J. Jost and S.T. Yau. A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry. Acta Math., (170):221-254, 1993.
  • J. Jost. Harmonic maps and curvature computations in Teichmüller theory. Ann. Acad. Sci. Fenn., (16):13-46, 1991.
  • J. Jost and S.T. Yau. Harmonic maps and group representations. In K. Tenenblat B. Lawson, editor, Differential Geometry, number 52 in Pitman Monographs Pure Appl. Math., pages 241-259. 1991.
  • J. Jost. Harmonic mappings: Analytic aspects and geometric significance. In S. Hildebrandt and R. Leis, editors, Partial Differential Equations and Calculus of Variations, number 1357, pages 264-296. Springer, 1988.
  • J. Jost. The geometric calculus of variations: A short survey and a list of open problems. Expositiones Mathematicae, (6):111-143, 1988.
  • R. Gulliver and J. Jost. Harmonic maps which solve a free boundary value problem. J. reine angew. Math., (381):61-89, 1987.
  • J. Jost. A conformally invariant variational problem for mappings between Riemannian manifolds, preprint.
  • J. Jost. Two dimensional geometric variational problems. Proc. Int. Cong. Math., pages 1094-1100, 1986. publiziert von der Am. Math. Soc., 1987.
  • J. Jost. On the existence of harmonic maps from a surface into the real projective plane. Compos. Math., (59):15-19, 1986.
  • J. Jost. A note on harmonic maps between surfaces. Ann. Inst. H. Poincaré (Anal. Nonlin.), (2):397-405, 1985.
  • J. Jost. The Dirichlet problem for harmonic maps from a surface with boundary onto a 2-sphere with non-constant boundary values. J. Diff. Geom., (19):393-401, 1984.
  • J. Jost and M. Meier. Boundary regularity for minima of certain quadratic functionals. Math. Ann., (262):549-561, 1983.
  • J. Jost. Lectures on harmonic maps (with applications to conformal mappings and minimal surfaces). LNM, (1161):118-192, 1985.
  • J. Jost and H. Karcher. Almost linear functions and a-priori estimates for harmonic maps. In Willmore and Hitchin, editors, Global Riemannian Geometry, Proc. Durham Conf., pages 148-155, Chichester, 1982. Ellis Horwood Ltd.
  • J. Jost and H. Karcher. Geometrische Methoden zur Gewinnung von apriori- Schranken für harmonische Abbildungen. Man. math., (40):27-77, 1982.
  • J. Jost and R. Schoen. On the existence of harmonic diffeomorphisms between surfaces. Inv. math., (66):353-359, 1982.
  • J. Jost. Existence proofs for harmonic mappings with the help of a maximum principle. Math. Z., (184):489-496, 1983.
  • J. Jost. A maximum principle for harmonic mappings which solve a Dirichlet problem. Man. math., (38):129-130, 1982.
  • J. Jost. Ein Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses. Man. math., (34):17-25, 1981.
  • J. Jost. Univalency of harmonic mappings between surfaces. J. reine angew. Math., (324):141-153, 1981.
  • J. Jost. Eine geometrische Bemerkung zu Sätzen über harmonische Abbildungen die ein Dirichletproblem lösen. Man. math., (32):51-57, 1980.
  • S. Hildebrandt, J. Jost, and K.O. Widman. Harmonic mappings and minimal submanifolds. Inv. math., (62):269-298, 1980.

Topics

Existence, uniqueness and regularity of harmonic mappings between Riemannian manifolds

conformal invariance and harmonic maps from Riemann surfaces

harmonic maps and Bernstein type theorems

Hermitian and affine harmonic maps

generalized harmonic mappings between (possibly not locally compact) metric spaces, existence and regularity

Dirac harmonic mappings, existence and regularity

3. Minimal surfaces and submanifolds

  • J. Jost. Differentialgeometrie und Minimalflächen. Springer, 1994. 2. Auflage 2007, mit J.-H. Eschenburg. (see TOC and errata)
  • J. Jost, Y.L. Xin, and L. Yang. The Gauss image of entire graphs of higher codimension and Bernstein type theorems.
  • J. Jost, Y.L.Xin, and L. Yang. The regularity of harmonic maps into spheres and applications to Bernstein problems.
  • J. Jost. Die Optimierung von Formen und Gestalten, 2003. (see TOC and download)
  • J. Jost and Y. L. Xin. Some aspects of the global geometry of entire space-like submanifolds. Result. Math., (40):233-245, 2001. (see PDF, 221 Kb)
  • J. Jost and Y.L. Xin. A Bernstein theorem for special Lagrangian graphs. Calc. Var., (15):299-312, 2002. (see PDF, 233 Kb)
  • J. Jost and Y.L. Xin. Bernstein type theorems for higher codimension. Calc. Var., (9):277-296, 1999. (see PDF, 242 Kb)
  • J. Jost. A weak notion of mean curvature and a generalized mean curvature flow for singular sets. In P. Concus and K. Lancaster, editors, Advances in Geometric Analysis and Continuum Mechanics, pages 138-144. Intern. Press, 1995.
  • J. Jost, X.Q. Li-Jost, and X.W. Peng. Bifurcation of minimal surfaces in Riemannian manifolds. Trans. AMS, (347):51-62, 1995.
  • J. Jost. Minimal surfaces and Teichmüller theory. In S.T. Yau, editor, Tsing Hua Lectures on Geometry & Analysis, pages 149-211. International Press, 1997. (see PDF, 14.5 Mb)
  • J. Jost. Unstable solutions of two-dimensional geometric variational problems. In Proc. AMS Summer Institute "Diff. Geom.", number 244, Los Angeles, 1990. Proc. Symp. Pure Math. Vol. 54 (1993), Part 1, 205-244.
  • J. Jost. Orientable and nonorientable minimal surfaces. In Proceedings of the First World Congress of Nonlinear Analysts, Tampa, Florida, pages 819-826, Berlin - New York, August 19-26 1992. Walter de Gruyter.
  • J. Jost and M. Struwe. Morse-Conley theory for minimal surfaces of varying topological type. Invent. math., (102):465-499, 1990.
  • J. Jost. Das Existenzproblem für Minimalflächen. Jber. DMV, (91):1-32, 1988. (see PDF, 10 Mb)
  • J. Jost. The geometric calculus of variations: A short survey and a list of open problems. Expositiones Mathematicae, (6):111-143, 1988.
  • J. Jost. Embedded minimal surfaces in manifolds diffeomorphic to the three-dimensional ball or sphere. J. Diff. Geom., (30):555-577, 1989.
  • J. Jost. Continuity of minimal surfaces with piecewise smooth free boundaries. Math. Ann., (276):599-614, 1987.
  • J. Jost. On the existence of embedded minimal surfaces of higher genus with free boundaries in Riemannian manifolds. In P. Concus und R. Finn, editor, Variational methods for free surface interfaces, number 1987, pages 65-75. Springer, New York.
  • J. Jost. On the regularity of minimal surfaces with free boundaries in Riemannian manifolds. Man. math., (56):279-291, 1986.
  • J. Jost. Existence results for embedded minimal surfaces of controlled topological type. III. Ann. Sc. Norm. Sup. Pisa, (14):165-167, 1987
  • J. Jost. Existence results for embedded minimal surfaces of controlled topological type. II. Ann. Sc. Norm. Sup. Pisa, (13):401-426, 1986.
  • J. Jost. Existence results for embedded minimal surfaces of controlled topological type. I. Ann. Sc. Norm. Sup. Pisa, (13):15-50, 1986.
  • M. Grüter and J. Jost. On embedded minimal disks in convex bodies. Ann. Inst. H. Poincaré, Anal. Nonlin., (3):345-390, 1986.
  • M. Grüter and J. Jost. Allard type regularity results for varifolds with free boundaries. Ann. Sc. Norm. Sup. Pisa, (13):129-169, 1986.
  • J. Jost. Two dimensional geometric variational problems. Proc. Int. Cong. Math., pages 1094-1100, 1986. publiziert von der Am. Math. Soc., 1987.
  • J. Jost. Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds. J. reine angew. Math., (359):37-54, 1985.
  • S. Hildebrandt, J. Jost, and K.O. Widman. Harmonic mappings and minimal submanifolds. Inv. math., (62):269-298, 1980.

Topics

Minimal surfaces of varying topological type

free boundary problems

unstable minimal surfaces

minimal varifolds

Bernstein theorems

 

4. Kähler and algebraic geometry; group representations, nonabelian Hodge theory; Teichmüller theory and moduli spaces

  • J. Jost and S.T. Yau. Harmonic mappings and moduli spaces of Riemann surfaces. In L.Z. Ji, S. Wolpert, and S.T. Yau, editors, Geometry of Riemann surfaces and their moduli spaces, Surveys Diff.Geom. Intern. Press, 2010.
  • J. Jost, Y.H. Yang, and K. Zuo. Harmonic metrics on unipotent bundles over quasi-compact Kähler manifolds.
  • J. Jost, Y.H. Yang, and K. Zuo. Cohomologies of harmonic bundles on quasi-compact Kähler manifolds. eprint arXiv, (0801.0194), 2007.
  • J. Jost, Y.H. Yang, and K. Zuo. Cohomologies of unipotent harmonic bundles over quasi-projective varieties i: The case of noncompact curves. J. reine angew. Math., (2007), 609.
  • J. Jost, Y.H. Yang, and K. Zuo. The cohomology of a variation of polarized Hodge structures over a quasi-compact Kähler manifold. J. Algebraic Geometry, (16):401-434, 2007.
  • J. Jost and Y.H. Yang. Kähler manifolds and fundamental groups of negatively δ-pinched manifolds. Int. J. Math., 167(15):151-167, 2004. (see PDF, 155 Kb)
  • J. Jost and Y.L. Xin. The first L2-Betti number of classifying spaces for variations of Hodge structure. Math. Zeitschrift, (249):817-828, 2005. (see PDF, 120 Kb)
  • J. Jost and K. Zuo. Representations of fundamental groups of algebraic manifolds and their restrictions to fibers of a fibration. Mathematical Research Letters, (8):569-575, 2001. (see PDF, 136 Kb)
  • J. Jost and K. Zuo. Arakelov type inequalities for Hodge bundles over algebraic varieties. Part I: Hodge bundles over algebraic curves. J. Alg. Geom., (11):535-546, 2002. (see PDF, 169 Kb)
  • J. Jost and Y.L. Xin. Vanishing theorems for L2-cohomology groups. J. reine angew. Math., (525):95-112, 2000. (see PDF, 221 Kb)
  • J. Jost and K. Zuo. Vanishing theorems for L2-cohomology on infinite coverings of compact Kähler manifolds and applications in algebraic geometry. Comm. Geom. Anal., 8(1):1-30, 2000. (see PDF, 275 Kb)
  • L. Habermann and J. Jost. Metrics on Riemann surfaces and the geometry of moduli spaces. In J.-P. Bourguignon, P. de Bartolomeis, and M. Giaquinta, editors, Geometric Theory of Singular Phenomena in Partial Differential Equations, number 1998, pages 53-70. Cambridge Univ. Press, 1998. Cortona 1995.
  • L. Habermann and J. Jost. Riemannian metrics on Teichmüller space. Man. math., (89):281-306, 1996.
  • J. Jost and K. Zuo. Harmonic maps of infinite energy and rigidity results for archimedean and nonarchimedean representations of fundamental groups of quasiprojective varieties. J. Diff. Geom., (47):469-503, 1997.
  • J. Jost and K. Zuo. Harmonic maps of infinite energy and rigidity results for quasiprojective varieties. Math. Research Letters, (1):631-638, 1994.
  • J. Jost and S.T. Yau. Harmonic maps and rigidity theorems for spaces of nonpositive curvature. Comm. Anal. Geom., (7):681-694, 1999.
  • J. Jost and K. Zuo. Harmonic maps and  representations of fundamental groups of quasiprojective manifolds. J. Alg. Geom., (5):77-106, 1996.
  • J. Jost and S.T. Yau. Applications of quasilinear PDE to algebraic geometry and arithmetic lattices. In J.H. Yang, Y. Namikawa, and K. Ueno, editors, Algebraic geometry and related topics, pages 169-190. International Press, 1994. (see PDF, 1000 Kb)
  • J. Jost and S.T. Yau. Harmonic maps and Kähler geometry. In J. Noguchi and T. Ohsawa, editors, Prospects in Complex Geometry, number 1468, pages 340-370. Springer, 1991.
  • J. Jost and S.T. Yau. Harmonic maps and superrigidity. In Proc. Symp. Pure Math., volume 54 (Part 1), pages 245-280, 1993.
  • J. Jost and X.W. Peng. Group actions, gauge transformations, and the calculus of variations. Math. Ann., (293):595-621, 1992.
  • J. Jost and X.W. Peng. The geometry of moduli spaces of stable vector bundles over Riemann surfaces. Springer Lecture Notes Math., (1481):79-96, 1991.
  • J. Jost and S.T. Yau. A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry. Acta Math., (170):221-254, 1993.
  • J. Jost. Harmonic maps and curvature computations in Teichmüller theory. Ann. Acad. Sci. Fenn., (16):13-46, 1991.
  • J. Jost and S.T. Yau. Harmonic mappings and algebraic varieties over function fields. Am. J. Math., (115):1197-1227, 1993.
  • J. Jost and S.T. Yau. Harmonic maps and group representations. In K. Tenenblat B. Lawson, editor, Differential Geometry, number 52 in Pitman Monographs Pure Appl. Math., pages 241-259. 1991.
  • J. Jost and S.T. Yau. On the rigidity of certain discrete groups and algebraic varieties. Math. Ann., (278):481-496, 1987.
  • J. Jost and S.T. Yau. The strong rigidity of locally symmetric complex manifolds of rank one and finite volume. Math. Ann., (275):291-304, 1986.
  • J. Jost and S.T. Yau. A strong rigidity theorem for a certain class of compact complex surfaces. Math. Ann., (271):143-152, 1985.
  • J. Jost and S.T. Yau. Harmonic mappings and Kähler manifolds. Math. Ann., (262):145-166, 1983.

Topics

Rigidity results for Kähler manifolds and group representations

Margulis type superrigidity and generalizations

harmonic mappings between noncompact varieties

curvature of moduli spaces

harmonic map techniques

applications for generalized harmonic maps

5. Variational problems from quantum fi eld theory and other areas of theoretical physics

  • J. Jost. Bosonic Strings: A Mathematical Treatment. AMS International Press, 2001. (see TOC)
  • J. Jost. Geometry and Physics. Springer, 2009.(see TOC)
  • Q. Chen, J. Jost, G.F.Wang, and M.M. Zhu. The boundary value problem for Dirac-harmonic maps.
  • J. Jost, G.F. Wang, C.Q. Zhou, and M.M. Zhu. Energy identities and blow up analysis for solutions of the super-Liouville equation. J. Math. Pures Appl., 92:295-312, 2009.
  • Q. Chen, J. Jost, and G.F. Wang. The supersymmetric non-linear σ- model.
  • J. Jost, G.F. Wang, D. Ye, and C.Q. Zhou. The blow up analysis of solutions of the elliptic sinh-gordon equation. Calc. Var, (31):263-276, 2008.
  • Q. Chen, J. Jost, and G.F. Wang. Nonlinear Dirac equations on Riemann surfaces. Ann. Glob. Anal. Geom., (33):253-270, 2008.
  • J. Jost, G.F.Wang, and C.Q. Zhou. Super-Liouville equations on compact Riemann surfaces. Comm. PDE, 32:1103-1128, 2007.
  • J. Jost, C.S. Lin, and G.F. Wang. Analytic aspects of the Toda system ii: Bubbling behavior and existence of solutions. Comm. on Pure and Appl. Math, LIX:0526-0558, 2006.
  • Q. Chen, J. Jost, J.Y. Li, and G.F. Wang. Dirac-harmonic maps. Math. Z., 254:409-432, 2006.
  • Q. Chen, J. Jost, J.Y. Li, and G.F.Wang. Regularity theorems and energy identities for Dirac-harmonic maps. Math. Z., 251:61-84, 2005.
  • S.M. Fei, J. Jost, X.Q. Li-Jost, and G.F.Wang. Entanglement of formation for a class of quantum states. Preprint MPI MIS.
  • J. Jost and G.F. Wang. Classi cation of solutions of a Toda system in ℝ2. IMRN, (6):277-290, 2002. (PDF, 246 Kb)
  • J. Jost and G. Wang. Analytic aspects of the Toda system I: A Moser- Trudinger inequality. CPAM, 54(11):1289-1319, 2001. (see PDF, 398 Kb)
  • W.Y. Ding, J. Jost, J.Y. Li, X.W. Peng, and G.F. Wang. Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6th order potentials. Comm. Math. Phys., 217(2):383-407, 2001. (see PDF, 320 Kb)
  • W.Y. Ding, J. Jost, J.Y. Li, and G.F. Wang. Existence results for mean field equations. Ann. Inst. Henri Poincaré, Analyse non lineaire, (16):653-666, 1999. (see PDF, 230 Kb)
  • W.Y. Ding, J. Jost, J.Y. Li, and G.F. Wang. Multiplicity results for the two-vortex Chern-Simons-Higgs model on the two-sphere. Commentarii Math. Helv., (74):118-142, 1999. (see PDF, 321 Kb)
  • W.Y. Ding, J. Jost, J.Y. Li, and G.F.Wang. An analysis of the two-vortex case in the Chern-Simons-Higgs model. Calc. Var., (7):87-97, 1998. (see PDF, 195 Kb)
  • W.Y. Ding, J. Jost, J.Y. Li, and G.F. Wang. The differential equation Δu = 8π - 8πheu on a compact Riemann surface. Asian J. Math., 1(2):230-248, 1997. (see PDF, 285 Kb)
  • M.C. Hong, J. Jost, and M. Struwe. Asymptotic limits for a Ginzburg-Landau type functional. In J. Jost, editor, Geometric Analysis and the Calculus of Variations for Stefan Hildebrandt, pages 99-123. Intern. Press, 1996.
  • J. Jost, X.W. Peng, and G.F. Wang. Variational aspects of the Seiberg-Witten functional. Calc. Var., (4):205-218, 1996.

Topics

Ginzburg-Landau

Chern-Simons-Higgs

Seiberg-Witten

nonlinear supersymmetric sigma model

super Liouville

Dirac-harmonic

6. Information geometry

  • N. Ay and J. Jost. Information geometry. Lecture Notes.

7. General surveys

  • J. Jost. The principles and concepts of geometric analysis. (Chinese) Advances in Mathematics, 32(2):129-140, 2003. (see english version in MPI MIS Lecture Note 12/01)
  • J. Jost. Variational problems from physics and geometry. 1995. (see PDF, 265 Kb)

8. Applications to image analysis

  • Y. Jin, J. Jost, and G.F. Wang. A nonlocal version of the Osher-Solé-Vese model.
  • Y. Jin, J. Jost, and G.F. Wang. A new nonlocal variational setting for image processing.

9. Other

  • J. Jost, X.Q. Li-Jost, Q.L. Wang, and C.Y. Xia. Universal inequalities for eigenvalues of the buckling problem of arbitrary order. Comm.PDE, 35:1563-1589, 2010.
  • J. Jost, X.Q. Li-Jost, Q.L. Wang, and C.Y. Xia. Universal bounds for eigenvalues of the polyharmonic operators. Trans.A.M.S., 363:1821-1854, 2011.
  • J. Jost, X.N. Ma, and Q.Z. Ou. Curvature estimates in dimension 2 and 3 for the level sets of p-harmonic functions in convex rings. Trans.A.M.S.
  • J. Jost, G.F. Wang, and C.Q. Zhou. Metrics of constant curvature on a Riemann surface with two corners on the boundary. Ann. I. H. Poincaré AN, (26):437-456, 2009.
  • W.Y. Chen and J. Jost. Maps with prescribed tension fields. Comm. Anal. Geom., pages 93-109, 2004. (see PDF, 130 Kb)
  • J. Jost and M. Kourouma. A nonlinear eigenvalue problem for mappings between Riemannian manifolds. Afrika Matematika, (13):87-109, 2002.
  • W.Y. Chen and J. Jost. A Riemannian version of Korn's inequality. Calc. Var., (14):517-530, 2002. (see PDF, 215 Kb)
  • L. Habermann and J. Jost. Green functions and conformal geometry. J. Di . Geom., (53):405-443, 1999. (see PDF, 380 Kb)
  • L. Habermann and J. Jost. Convergence of eigenvalues and Green functions under surgery type degeneration of Riemannian manifolds. Calc. Var., (5):137-158, 1997.
  • J. Jost. A nonparametric proof of the theorem of Lusternik and Schnirelman. Arch. Math., (53):497-509, 1989.
  • J. Jost. The geometric calculus of variations: A short survey and a list of open problems. Expositiones Mathematicae, (6):111-143, 1988. (see PDF, 8150 Kb)

Topics

Conformal geometry

Green functions

...

10. Edited books

  • J. Jost. Geometric Analysis and the Calculus of Variations. International Press, Boston, 1996. for Stefan Hildebrandt. (see TOC)
  • J. Jost, W. Kendall, U. Mosco, M. Röckner, and K.Th. Sturm. New directions in Dirichlet forms. International Press/AMS, 1998. (see TOC and download of chapter 1)
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