Abstract
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) |
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Pages (from-to) | 193-229 |
Number of pages | 37 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 45 |
Issue number | 1-2 |
DOIs | |
State | Published - Sep 1 2012 |
Externally published | Yes |
Bibliographical note
Generated from Scopus record by KAUST IRTS on 2023-02-15ASJC Scopus subject areas
- Analysis
- Applied Mathematics