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EnglishWe show that the tools recently introduced by the first author in [9] allow to give a PDE description of p-harmonic functions in metric measure setting. Three applications are given: the first is about new results on the sheaf property of harmonic functions, the second is a PDE proof of the fact that the composition of a subminimizer with a convex and non-decreasing function is again a subminimizer, and the third is the fact that the Busemann function associated to a line is harmonic on infinitesimally Hilbertian CD(0,N) spaces.
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http://hdl.handle.net/20.500.11767/16754| Titolo: | A PDE approach to nonlinear potential theory |
| Autori: | GIGLI N; Mondino Andrea |
| Rivista: | JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES |
| Data di pubblicazione: | 2013 |
| Appare nelle tipologie: | 1.1 Journal article |
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