Harmonic functions on metric spaces
نویسندگان
چکیده
منابع مشابه
DIFFERENTIABILITY OF p-HARMONIC FUNCTIONS ON METRIC MEASURE SPACES
We study p-harmonic functions on metric measure spaces, which are formulated as minimizers to certain energy functionals. For spaces supporting a p-Poincaré inequality, we show that such functions satisfy an infinitesmal Lipschitz condition almost everywhere. This result is essentially sharp, since there are examples of metric spaces and p-harmonic functions that fail to be locally Lipschitz co...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2001
ISSN: 0019-2082
DOI: 10.1215/ijm/1258138166