On the existence of a weak solution for some singular \(p(x)\)-biharmonic equation with Navier boundary conditions

DOI10.1515/anona-2016-0260zbMath1419.35038OpenAlexW2797719044MaRDI QIDQ2417262

Kamel Saoudi, Khaled Kefi

Publication date: 12 June 2019

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2016-0260

zbMATH Keywords

variational methodsexistence resultssingular problemNavier boundary condition\(p(x)\)-biharmonic operator

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)

Related Items (12)

On a Kirchhoff singular \(p(x)\)-biharmonic problem with Navier boundary conditions ⋮ Infinitely many solutions for a class of biharmonic equations with indefinite potentials ⋮ Combined effects for non-autonomous singular biharmonic problems ⋮ Nehari manifold for singular fractionalp(x,.)-Laplacian problem ⋮ On the existence of solutions of a nonlocal biharmonic problem ⋮ Existence of two non-zero weak solutions for a \(p(\cdot)\)-biharmonic problem with Navier boundary conditions ⋮ A new class of fractional Orlicz-Sobolev space and singular elliptic problems ⋮ On the solvability of variable exponent differential inclusion systems with multivalued convection term ⋮ Existence of solutions for a singular double phase Kirchhoff type problems involving the fractional \(q(x, .)\)-Laplacian Operator ⋮ Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights ⋮ Eigenvalues of some \(p(x)\)-biharmonic problems under Neumann boundary conditions ⋮ A Kirchhoff \(p(x)\)-biharmonic problem involving singular nonlinearities and Navier boundary conditions

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