Multiplicity of positive solutions for a class of inhomogeneous Neumann problems involving the \(p(x)\)-Laplacian

DOI10.1007/s00030-008-6027-2zbMath1173.35491OpenAlexW2053102438MaRDI QIDQ1021399

Shao-Gao Deng, Xian-Ling Fan

Publication date: 8 June 2009

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-008-6027-2

zbMATH Keywords

positive solutionvariational methodNeumann problemsub-supersolution method\(p(x)\)-Laplacian equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Variational methods for second-order elliptic equations (35J20)

Related Items (12)

Nodal solutions for anisotropic \((p, q)\)-equations ⋮ A multiplicity theorem for anisotropic Robin equations ⋮ Multiplicity results for the \(p(x)\)-Laplacian equation with singular nonlinearities and nonlinear Neumann boundary condition ⋮ Global multiplicity for parametric anisotropic Neumann \((p,q)\)-equations ⋮ Parametric anisotropic \((p, q)\)-Neumann problems ⋮ Constant sign and nodal solutions for parametric anisotropic (p, 2) -equations ⋮ Anisotropic nonlinear Neumann problems ⋮ Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions ⋮ Boundary trace embedding theorems for variable exponent Sobolev spaces ⋮ Overview of differential equations with non-standard growth ⋮ Existence and asymptotic stability for the semilinear wave equation with variable-exponent nonlinearities ⋮ Existence of two positive solutions for anisotropic nonlinear elliptic equations

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