Kirchhoff-Type Problem with Mixed Boundary Condition in a Variable Exponent Sobolev Space

DOI10.4208/CMR.2023-0017OpenAlexW4387022405MaRDI QIDQ6122969

Junichi Aramaki

Publication date: 4 March 2024

Published in: Communications in Mathematical Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cmr.2023-0017

zbMATH Keywords

weak solutionsmixed boundary value problemKirchhoff-type problem\(p(\cdot)\)-Laplacian type equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Quasielliptic equations (35H30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Poincaré inequality in a Sobolev space with a variable exponent
• On a \(p\)-Kirchhoff equation via Krasnoselskii's genus
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• Electrorheological fluids: modeling and mathematical theory
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• On the variational principle
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term
• Boundary trace embedding theorems for variable exponent Sobolev spaces
• Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators
• Infinitely many positive solutions for Kirchhoff-type problems
• Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• On the Well-Posedness of the Kirchhoff String
• Existence and multiplicity of weak solutions for nonuniformly elliptic equations with nonstandard growth condition
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
• Existence of nontrivial weak solutions for nonuniformly elliptic equation with mixed boundary condition in a variable exponent Sobolev space

This page was built for publication: Kirchhoff-Type Problem with Mixed Boundary Condition in a Variable Exponent Sobolev Space