Harmonic maps on planar lattices

Stefan Müller, Michael Struwe, and Vladimír Šverák

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Submission date: 31. Jul. 1997
Pages: 17
published in: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 25 (1997) 4, p. 713-730 
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Abstract:
We show that a sequence of harmonic maps from a square, two-dimensional lattice of mesh-size h to a compact Riemannian manifold N with uniformly bounded energy as weakly accumulates at a harmonic map on the flat two-dimensional torus.