We complete the study of the regularity for Trudinger's equation by proving that weak solutions are Hölder continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincaré inequality. The proof uses the Harnack inequality and intrinsic scaling. © 2011 Springer-Verlag.
|Original language||English (US)|
|Number of pages||37|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - Sep 1 2012|
ASJC Scopus subject areas
- Applied Mathematics