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MiS Preprint
19/1997
Harmonic maps on planar lattices
Stefan Müller, Michael Struwe and Vladimír Šverák
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 $h \to 0$ weakly accumulates at a harmonic map $u: T^2 \to N$ on the flat two-dimensional torus.
