On the existence threshold for positive solutions of p-Laplacian equations with a concave–convex nonlinearity

DOI10.1142/S0219199714500448zbMath1333.35062OpenAlexW2118434507MaRDI QIDQ3465798

Fernando Charro, Enea Parini

Publication date: 22 January 2016

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

Full work available at URL: https://doi.org/10.1142/s0219199714500448

zbMATH Keywords

boundary value problem\(p\)-Laplacianconcave-convex nonlinearity

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Positive solutions to PDEs (35B09)

Related Items (4)

Multiplicity and concentration of positive solutions for fractional \(p\)-Laplacian problem involving concave-convex nonlinearity ⋮ Critical quasilinear elliptic problems using concave-convex nonlinearities ⋮ Quasilinear elliptic problems with concave–convex nonlinearities ⋮ A limiting problem for local/non-local \(p\)-Laplacians with concave-convex nonlinearities

Cites Work

• A direct uniqueness proof for equations involving the \(p\)-Laplace operator
• Limits as \(p \rightarrow \infty \) of \(p\)-Laplacian eigenvalue problems perturbed with a concave or convex term
• Existence and nonexistence results for quasilinear elliptic equations involving the \(p\)-Laplacian with a critical potential
• A New Proof for the Equivalence of Weak and Viscosity Solutions for thep-Laplace Equation
• C1 + α local regularity of weak solutions of degenerate elliptic equations

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