Existence results for the \(p(x)\)-Laplacian with nonlinear boundary condition

DOI10.5402/2012/727398zbMath1264.35109OpenAlexW2149965852WikidataQ58691870 ScholiaQ58691870MaRDI QIDQ1954417

Zhiqiang Wei, Zigao Chen

Publication date: 11 June 2013

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/727398

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (8)

Equivalent Relations with the J. L. Lions Lemma in a Variable Exponent Sobolev Space and Their Applications ⋮ On the Steklov problem involving the p(x)-Laplacian with indefinite weight ⋮ Existence of weak solutions for a nonlinear problem involving \(p(\cdot)\)-Laplacian operator with mixed boundary conditions ⋮ Existence and multiplicity of solutions for some Styklov problem involving p(x)-Laplacian operator ⋮ Existence and multiplicity of solutions for some Steklov problem involving (p₁(x), p₂(x))-Laplacian operator ⋮ Existence results for a \(p(x)\)-Laplacian problem with nonlinear boundary condition ⋮ A Remark on the J. L. Lions Lemma and its Applications in a Variable Exponent Sobolev Space ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orlicz spaces and modular spaces
• Existence of positive solutions for \(p(x)\)-Laplacian equations in unbounded domains
• Topology of the space \(\mathcal L^{p(t)}([0,t)\)]
• Partial regularity under anisotropic \((p,q)\) growth conditions
• Electrorheological fluids: modeling and mathematical theory
• Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• Minimax theorems
• Existence and non-existence results for a quasilinear problem with nonlinear boundary condition
• Eigenvalues of the \(p(x)\)-Laplacian Steklov problem
• Boundary trace embedding theorems for variable exponent Sobolev spaces
• Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators
• \(p(x)\)-Laplacian equations in \(\mathbb R^N\) with periodic data and nonperiodic perturbations
• Resonance problems for the \(p\)-Laplacian with a nonlinear boundary condition
• Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
• On modular spaces
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Three non-trival solutions of anticoercive boundary value problems for the Pseudo-Laplace-operator.
• ON PASSAGE TO THE LIMIT IN NONLINEAR VARIATIONAL PROBLEMS
• Regularity results for a class of functionals with non-standard growth
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
• Existence results for the \(p\)-Laplacian with nonlinear boundary conditions

This page was built for publication: Existence results for the \(p(x)\)-Laplacian with nonlinear boundary condition