Regularity of stable solutions of \(p\)-Laplace equations through geometric Sobolev type inequalities

DOI10.4171/JEMS/576zbMath1332.35129arXiv1201.3486MaRDI QIDQ894198

Manel Sanchón, Daniele Castorina

Publication date: 27 November 2015

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.3486

zbMATH Keywords

Schwarz symmetrization\(p\)-Laplace equationsregularity of stable solutionsgeometric inequalitiesmean curvature of level sets

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Multiplicity of solution for a quasilinear equation with singular nonlinearity ⋮ Boundedness of stable solutions to nonlinear equations involving the \(p\)-Laplacian ⋮ Regularity of the extremal solution for singular \(p\)-Laplace equations ⋮ Regularity of stable solutions to quasilinear elliptic equations on Riemannian models ⋮ Optimal regularity of stable solutions to nonlinear equations involving the \(p\)-Laplacian ⋮ Multiplicity of solution for a quasilinear equation with singular nonlinearity

Cites Work

• Unnamed Item
• Comparison results for elliptic and parabolic equations via Schwarz symmetrization
• On the first variation of a varifold
• Existence results for nonlinear elliptic equations with degenerate coercivity
• A remark on comparison results via symmetrization

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