Existence of positive solutions for the \(p\)-Laplacian with \(p\)-gradient term

DOI10.1016/j.jmaa.2011.05.008zbMath1222.35068OpenAlexW2094953021MaRDI QIDQ549840

Yuanyuan Ke, Jingxue Yin, Jinkai Li

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.05.008

zbMATH Keywords

a priori estimatespositive solutions\(p\)-LaplacianKrasnoselskii fixed point theoremLiouville theoremsblow-up argument\(p\)-gradient term

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Positive solutions to PDEs (35B09)

Related Items (8)

On the solvability of the Dirichlet problem for anisotropic parabolic equations in non-convex domains ⋮ Global bifurcation for nonlinear elliptic problems with gradient term ⋮ Existence and boundary behavior of solutions for boundary blow-up quasilinear elliptic problems with gradient terms ⋮ A gradient type term for the \(k\)-Hessian equation ⋮ On the existence of radially symmetric solutions for the \(p \)-Laplace equation with strong gradient nonlinearities ⋮ Influence of Gradient Terms on the Existence of Solutions to the Dirichlet Problem for p-Laplacian ⋮ Elliptic equations involving the \(p\)-Laplacian and a gradient term having natural growth ⋮ Radially Symmetric Solutions of the p-Laplace Equation with Gradient Terms

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