Existence and multiplicity of solutions for a p(x)-biharmonic problem with Neumann boundary conditions

DOI10.5269/bspm.42168OpenAlexW4200239065MaRDI QIDQ6189451

M. Moussaoui, Abdelrachid El Amrouss, F. Moradi

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.42168

zbMATH Keywords

critical point\(p(x)\)-biharmonic operatorNemytskii's operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (1)

Existence of two non-zero weak solutions for a \(p(\cdot)\)-biharmonic problem with Navier boundary conditions

Cites Work

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• On the spectrum of a fourth order elliptic equation with variable exponent
• A Knobloch-type result for \(p(t\))-Laplacian systems.
• On a three critical points theorem
• Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Eigenvalues of the \(p(x)\)-Laplacian Neumann problems
• Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators
• Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
• Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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