Weak solutions for nonlinear Neumann boundary value problems with \(p(x)\)-Laplacian operators

DOI10.11650/tjm/7995zbMath1390.35098OpenAlexW2750289856MaRDI QIDQ1750743

Lingju Kong

Publication date: 23 May 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1502935252

zbMATH Keywords

quasilinear equation\(p(x)\)-Laplaciannonlinear bundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

On some singular problems involving the fractional p(x,.) -Laplace operator ⋮ Some remarks on a class of \(p(x)\)-Laplacian Robin eigenvalue problems

Cites Work

• Multiplicity of solutions to a nonlinear boundary value problem of concave-convex type
• On the Sobolev trace theorem for variable exponent spaces in the critical range
• Lebesgue and Sobolev spaces with variable exponents
• On the \(p(x)\)-Laplacian Robin eigenvalue problem
• Multiplicity results for Steklov problem with variable exponent
• Multiple variational solutions to nonlinear Steklov problems
• Electrorheological fluids: modeling and mathematical theory
• Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• Minimax theorems
• 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
• Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators
• Existence of solution to a critical trace equation with variable exponent
• Infinitely many solutions for Steklov problems associated to non-homogeneous differential operators through Orlicz-Sobolev spaces
• Continuous spectrum of Steklov nonhomogeneous elliptic problem
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Sobolev embeddings with variable exponent
• Existence of infinitely many solutions for a Steklov problem involving the p(x)-Laplace operator
• Eigenvalues for a fourth order elliptic problem
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
• Existence results for the \(p\)-Laplacian with nonlinear boundary conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weak solutions for nonlinear Neumann boundary value problems with \(p(x)\)-Laplacian operators