Accepted Paper

Inserted: 21 apr 2017
Last Updated: 12 apr 2018

Journal: Calc. Var. Partial Differential Equations
Pages: 34
Year: 2017

Abstract:

We prove that local weak solutions of the orthotropic $p-$harmonic equation are locally Lipschitz, for every $p\ge 2$ and in every dimension. More generally, the result holds true for more degenerate equations with orthotropic structure, with right-hand sides in suitable Sobolev spaces.

Keywords: Degenerate elliptic equations, Lipschitz regularity, Anisotropic problems, orthotropic problems

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