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Research Group

Applied Analysis - Publications

Explore the scholarly works of the "Applied Analysis" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.


inJournal
2025 Repository Open Access
Wentao Cao and László Székelyhidi

On the isometric version of Whitney's strong embedding theorem

In: Advances in mathematics, 460 (2025), p. 110040
inJournal
2025 Journal Open Access
Stefan Schiffer

\(\mathscr{A}\)-free truncation and higher integrability of minimisers

In: Calculus of variations and partial differential equations, 64 (2025) 1, p. 30
inJournal
2024 Repository Open Access
Francesca Anceschi, Sergio Polidoro and Annalaura Rebucci

Harnack inequality and asymptotic lower bounds for the relativistic Fokker-Planck operator

In: Journal of evolution equations, 24 (2024) 4, p. 93
inBook
2024 Repository Open Access
Francesca Anceschi, Mirco Piccinini and Annalaura Rebucci

New perspectives on recent trends for Kolmogorov operators

In: Kolmogorov operators and their applications : conference proceedings / Stéphan Menozzi... (eds.)
Singapore : Springer, 2024. - pp. 57-92
(Springer INdAM series)
inJournal
2024 Journal Open Access
Francesca Anceschi and Annalaura Rebucci

On the obstacle problem associated to the Kolmogorov-Fokker-Planck operator with rough coefficients

In: Annali di matematica pura ed applicata, 203 (2024) 5, pp. 1979-1995
inJournal
2024 Repository Open Access
Adolfo Arroyo-Rabasa, Paolo Bonicatto and Giacomo Del Nin

Representation of the total variation as a \(\Gamma\)-limit of \(BMO\)-type seminorms

In: Indiana University mathematics journal, 73 (2024) 1, pp. 341-365
inBook
2024
Federico Bonetto, Eric A. Carlen, Lukas Hauger and Michael Loss

Approach to equilibrium for the Kac model

In: From particle systems to partial differential equations : PSPDE X, Braga, Portugal, June 2022 / Eric Carlen (ed.)
Cham : Springer, 2024. - pp. 187-211
inJournal
2024 Repository Open Access
Paolo Bonicatto, Giacomo Del Nin and Filip Rindler

Existence and uniqueness for the transport of currents by Lipschitz vector fields

In: Journal of functional analysis, 286 (2024) 7, p. 110315
inJournal
2024 Repository Open Access
Maria Colombo and Riccardo Tione

Non-classical solutions of the \(p\)-Laplace equation

In: Journal of the European Mathematical Society, (2024)
inJournal
2024 Repository Open Access
Guido De Philippis and Riccardo Tione

On singular strictly convex solutions to the Monge-Ampère equation

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, (2024)
Preprint
2024 Repository Open Access
Franz Gmeineder and Stefan Schiffer

Extensions of divergence-free fields in \(\mathrm{L}^{1}\)based function spaces

inJournal
2024 Journal Open Access
Franz Gmeineder and Stefan Schiffer

Natural annihilators and operators of constant rank over \(C\)

In: Rendiconti lincei : matematica e applicazioni, serie 9, 35 (2024) 2, pp. 155-173
inJournal
2024 Repository Open Access
André Guerra and Riccardo Tione

Regularity and compactness for critical points of degenerate polyconvex energies

In: Archive for rational mechanics and analysis, 248 (2024) 6, p. 107
Preprint
2024 Repository Open Access
André Guerra, Guido De Philippis and Riccardo Tione

Unique continuation for differential inclusions

inJournal
2024 Repository Open Access
Carl Johan Peter Johansson and Riccardo Tione

\(T_5\) configurations and hyperbolic systems

In: Communications in contemporary mathematics, 26 (2024) 3, p. 2250081
inJournal
2024 Repository Open Access
Bruce Kleiner, Stefan Müller, László Székelyhidi and Xiangdong Xie

Rigidity of Euclidean product structure: breakdown for low Sobolev exponents

In: Communications on pure and applied analysis, 23 (2024) 10, pp. 1569-1607
Preprint
2024 Repository Open Access
Sam G. Krupa and László Székelyhidi

Contact discontinuities for 2-D isentropic Euler are unique in 1-D but wildly non-unique otherwise

inJournal
2024 Repository Open Access
Sam G. Krupa and László Székelyhidi

Nonexistence of \(T_4\) configurations for hyperbolic systems and the Liu entropy condition

In: Advances in mathematics, 454 (2024), p. 109856
inJournal
2024 Journal Open Access
Francisco Mengual

Non-uniqueness of admissible solutions for the 2D Euler equation with \(L^p\) vortex data

In: Communications in mathematical physics, 405 (2024) 9, p. 207
inJournal
2024 Journal Open Access
Annalaura Rebucci

Harnack inequality and maximum principle for degenerate Kolmogorov operators in divergence form

In: Journal of mathematical analysis and applications, 538 (2024) 2, p. 128371
inJournal
2024 Journal Open Access
Stefan Schiffer

A sufficient and necessary condition for \(\mathcal {A}\)-quasiaffinity

In: Rendiconti del Circolo Matematico di Palermo, 73 (2024) 2, pp. 527-579
inJournal
2024 Journal Open Access
Stefan Schiffer

An alternative approach to solenoidal Lipschitz truncation

In: Proceedings of the Royal Society of Edinburgh / A, (2024)
Preprint
2024 Repository Open Access
Stefan Schiffer and Martina Zizza

On incompressible flows in discrete networks and Shnirelman's inequality

inJournal
2024 Journal Open Access
Stefan Schiffer

On the complex constant rank condition and inequalities for differential operators

In: Nonlinear analysis / A, 239 (2024), p. 113435
Preprint
2024 Repository Open Access
Martina Zizza

An alternative approach to Shnirelman's inequality

inJournal
2023 Repository Open Access
Linus Behn, Franz Gmeineder and Stefan Schiffer

On symmetric div-quasiconvex hulls and divsym-free \(L^\infty\)-truncations

In: Annales de l'Institut Henri Poincaré / C, 40 (2023) 6, pp. 1267-1317
Preprint
2023 Repository Open Access
Jan Burczak, László Székelyhidi and Bian Wu

Anomalous dissipation and Euler flows

Preprint
2023 Repository Open Access
Antonio De Rosa and Riccardo Tione

The double and triple bubble problem for stationary varifolds : the convex case

inJournal
2023 Journal Open Access
Luigi De Rosa and Riccardo Tione

Fine properties of symmetric and positive matrix fields with bounded divergence

In: Advances in mathematics, 427 (2023), p. 109130
inJournal
2023 Repository Open Access
Giacomo Del Nin and Raquel Perales

Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into \({\mathbb{R}}^n\)

In: Journal of mathematical analysis and applications, 526 (2023) 1, p. 127297
inJournal
2023 Repository Open Access
Xavier Fernández-Real and Riccardo Tione

Improved regularity of second derivatives for subharmonic functions

In: Proceedings of the American Mathematical Society, 151 (2023) 12, pp. 5283-5297
inJournal
2023 Repository Open Access
William Golding, Sam G. Krupa and Alexis F. Vasseur

Sharp \(\alpha\)-contraction estimates for small extremal shocks

In: Journal of hyperbolic differential equations, 20 (2023) 3, pp. 541-602
inJournal
2023 Journal Open Access
Marc Härkönen, Jonas Hirsch and Bernd Sturmfels

Making waves

In: La matematica, 2 (2023) 3, pp. 593-615
Preprint
2023 Repository Open Access
Jonas Hirsch, Connor Mooney and Riccardo Tione

On the Lawson-Osserman conjecture

inJournal
2023 Journal Open Access
Christina Lienstromberg, Stefan Schiffer and Richard Schubert

A data-driven approach to viscous fluid mechanics : the stationary case

In: Archive for rational mechanics and analysis, 247 (2023) 2, p. 30
Preprint
2023 Repository Open Access
Christina Lienstromberg, Stefan Schiffer and Richard Schubert

A variational approach to the non-newtonian Navier-Stokes equations

inJournal
2023 Journal Open Access
Annalaura Rebucci

Regularity results for Kolmogorov equations based on a blow-up argument

In: Bruno Pini mathematical analysis seminar, 14 (2023) 2, pp. 139-162
inJournal
2023 Journal Open Access
Massimo Sorella and Riccardo Tione

The four-state problem and convex integration for linear differential operators

In: Journal of functional analysis, 284 (2023) 4, p. 109785
inJournal
2023 Repository Open Access
Riccardo Tione

Critical points of degenerate polyconvex energies

In: SIAM journal on mathematical analysis, 55 (2023) 4, pp. 3205-3225
inJournal
2022 Journal Open Access
Geng Chen, Sam G. Krupa and Alexis F. Vasseur

Uniqueness and weak-BV stability for \(2\times 2\) conservation laws

In: Archive for rational mechanics and analysis, 246 (2022) 1, pp. 299-332
inJournal
2022 Repository Open Access
Antonio De Rosa and Riccardo Tione

Regularity for graphs with bounded anisotropic mean curvature

In: Inventiones mathematicae, 230 (2022) 2, pp. 463-507
inJournal
2022 Journal Open Access
Jonas Hirsch and Konstantinos Zemas

A note on a rigidity estimate for degree \(\pm 1\) conformal maps on \(\mathbb{S}^2\)

In: The bulletin of the London Mathematical Society, 54 (2022) 1, pp. 256-263