Lipschitz regularity for local minimizers of some widely degenerate problems

DOI10.2422/2036-2145.201410_006zbMath1366.35047arXiv1409.2162OpenAlexW2964341333WikidataQ110236372 ScholiaQ110236372MaRDI QIDQ2964271

Pierre Bousquet, Lorenzo Brasco, Vesa Julin

Publication date: 23 February 2017

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2162

zbMATH Keywords

degenerate elliptic equationsLipschitz regularityanisotropic problems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70)

Related Items

On the Lipschitz character of orthotropic \(p\)-harmonic functions ⋮ Global Lipschitz continuity for minima of degenerate problems ⋮ Existence and regularity results for fully nonlinear operators on the model of the pseudo Pucci's operators ⋮ \(C^1\) regularity of orthotropic \(p\)-harmonic functions in the plane ⋮ Gradient estimates for an orthotropic nonlinear diffusion equation ⋮ Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals ⋮ Lipschitz regularity for orthotropic functionals with nonstandard growth conditions ⋮ Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators ⋮ Regularity of the derivatives of p-orthotropic functions in the plane for 1 < p < 2