- Working Paper
We show that the tools recently introduced by the first author in  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 Show more
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Journal / seriesMFO Oberwolfach Reports
Organisational unit03600 - Rivière, Tristan
NotesSubmitted on 17 September 2012. also published as: A PDE approach to nonlinear potential theory in metric measure spaces.
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