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arXiv:1103.1845 [math.AP]AbstractReferencesReviewsResources

Hölder continuity for Trudinger's equation in measure spaces

Tuomo Kuusi, Rojbin Laleoglu, Juhana Siljander, José Miguel Urbano

Published 2011-03-09Version 1

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.

Comments: 36 pages
Journal: Calc. Var. Partial Differential Equations, 2011
Categories: math.AP
Subjects: 35B65, 35K67, 35D10
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