H\"older continuity for Trudinger's equation in measure spaces
Analysis of PDEs
2011-05-06 v1
Abstract
We complete the study of the regularity for Trudinger's equation by proving that weak solutions are H\"older continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincar\'e inequality. The proof uses the Harnack inequality and intrinsic scaling.
Keywords
Cite
@article{arxiv.1103.1845,
title = {H\"older continuity for Trudinger's equation in measure spaces},
author = {Tuomo Kuusi and Rojbin Laleoglu and Juhana Siljander and José Miguel Urbano},
journal= {arXiv preprint arXiv:1103.1845},
year = {2011}
}
Comments
36 pages