Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 253, Issue 7, Pages 1943-1958Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2012.06.010
Keywords
phi-Laplacian; p-Laplacian; Almost harmonic; Harmonic approximation; Lipschitz truncation
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Funding
- PRIN Project: Calcolo delle variazioni e Teoria Geometrica della Misura
- European Research Council under FP7 [226234]
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We extend the p-harmonic approximation lemma proved by Duzaar and Mingione for p-harmonic functions to phi-harmonic functions, where phi is a convex function. The proof is direct and is based on the Lipschitz truncation technique. We apply the approximation lemma to prove Wilder continuity for the gradient of a solution of a phi-harmonic system with critical growth. (c) 2012 Elsevier Inc. All rights reserved.
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