Existence results for perturbed weighted p(x)-biharmonic problem with Navier boundary conditions

DOI10.1080/17476933.2020.1729140zbMath1464.35093OpenAlexW3010214597MaRDI QIDQ5856362

Lamine Mbarki

Publication date: 25 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1729140

zbMATH Keywords

mountain pass theoremEkeland variational principleNavier boundary conditions\(p(x)\)-biharmonic equation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35)

Related Items (3)

Anisotropic Navier Kirchhoff problems with convection and Laplacian dependence ⋮ Existence of two non-zero weak solutions for a \(p(\cdot)\)-biharmonic problem with Navier boundary conditions ⋮ The Nehari manifold approach involving a singular \(p(x)\)-biharmonic problem with Navier boundary conditions

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• ON SOME p(x)-KIRCHHOFF TYPE EQUATIONS WITH WEIGHTS
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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