Abstract.
This paper aims at developing a nonlinear version of the theory of Dirichlet spaces, i.e. for maps with values in metric spaces instead of scalar functions. We also show the Hölder continuity of minimizers if a ball doubling property and a Poincaré inequality hold. This result applies in particular to generalized harmonic maps.
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Received November 2, 1995 / Accepted December 15, 1995
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Jost, J. Generalized Dirichlet forms and harmonic maps . Calc Var 5, 1–19 (1997). https://doi.org/10.1007/s005260050056
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DOI: https://doi.org/10.1007/s005260050056