Equilibrium maps between metric spaces
- Cite this article as:
- Jost, J. Calc. Var (1994) 2: 173. doi:10.1007/BF01191341
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We show the existence of harmonic mappings with values in possibly singular and not necessarily locally compact complete metric length spaces of nonpositive curvature in the sense of Alexandrov. As a technical tool, we show that any bounded sequence in such a space has a subsequence whose mean values converge. We also give a general definition of harmonic maps between metric spaces based on mean value properties andΓ-convergence.