Existence of solutions for \(p(x)\)-Laplacian nonhomogeneous Neumann problems with indefinite weight

DOI10.1016/j.nonrwa.2008.11.019zbMath1181.35120OpenAlexW1990229811MaRDI QIDQ1049461

Chenyin Qian, Zifei Shen, Min-Bo Yang

Publication date: 12 January 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.11.019

zbMATH Keywords

locally Lipschitz functional\(p(x)\)-Laplaciannonhomogeneous Neumann problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (7)

Unnamed Item ⋮ Extinction behavior of solutions for the \(p\)-Laplacian equations with nonlocal sources ⋮ Existence of weak solutions for second-order boundary-value problems of Kirchhoff-type with variable exponents ⋮ Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions ⋮ Some remarks on a class of \(p(x)\)-Laplacian Robin eigenvalue problems ⋮ Periodic solutions for a differential inclusion problem involving the \(p(t)\)-Laplacian ⋮ Homoclinic solutions for a differential inclusion system involving the \(p(t)\)-Laplacian

Cites Work

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• On Neumann hemivariational inequalities
• Regularity results for stationary electro-rheological fluids
• Eigenvalues of the \(p(x)\)-Laplacian Neumann problems
• Remarks on Ricceri's variational principle and applications to the \(p(x)\)-Laplacian equations
• Boundary trace embedding theorems for variable exponent Sobolev spaces
• Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators
• Optimization and nonsmooth analysis
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Regularity results for a class of functionals with non-standard growth

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