Optimal C1,α estimates for a class of elliptic quasilinear equations

DOI10.1142/S0219199719500147zbMath1445.35166arXiv1507.06898OpenAlexW2952751872MaRDI QIDQ3299007

Damião J. Araújo, Lei Zhang

Publication date: 17 July 2020

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.06898

zbMATH Keywords

quasilinear equationsinterior estimate\(p\)-Laplacianoptimal regularity

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Quasilinear elliptic equations (35J62)

Related Items (3)

Sharp regularity for the inhomogeneous porous medium equation ⋮ Sharp regularity estimates for quasilinear evolution equations ⋮ Local Hölder regularity for the general non-homogeneous parabolic equations

Cites Work

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• Universal potential estimates
• Interior a priori estimates for solutions of fully nonlinear equations
• Gradient continuity estimates
• Regularity for minima of functionals with p-growth
• Regularity for a more general class of quasilinear equations
• Regularity of \(p\)-harmonic functions on the plane
• A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
• Sharp regularity for general Poisson equations with borderline sources
• A proof of the \(C^{p^\prime}\)-regularity conjecture in the plane
• Regularity of the \(p\)-Poisson equation in the plane
• Regularity for quasilinear equations on degenerate singular sets
• A geometric tangential approach to sharp regularity for degenerate evolution equations
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Towards the $C^{p^\prime}$-Regularity Conjecture in Higher Dimensions

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