Hölder continuity for Trudinger's equation in measure spaces

Published 9 Mar 2011 in math.AP | (1103.1845v1)

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.

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