A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient

DOI10.1016/j.matpur.2019.09.011zbMath1435.35147arXiv1803.02658OpenAlexW2973787723MaRDI QIDQ2338127

Colette De Coster, Antonio J. Fernández, Louis Jeanjean

Publication date: 21 November 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02658

zbMATH Keywords

boundary value problem\(p\)-Laplacianboundary weak Harnack inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations with (p)-Laplacian (35J92) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems ⋮ Existence and multiplicity for an elliptic problem with critical growth in the gradient and sign-changing coefficients ⋮ Biharmonic elliptic problems with second Hessian and gradient nonlinearities ⋮ A priori bounds and multiplicity results for slightly superlinear and sublinear elliptic \(p\)-Laplacian equations ⋮ A priori estimates for non-coercive Dirichlet problems with subquadratic gradient terms

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