Low perturbations of p-biharmonic equations with competing nonlinearities

DOI10.1080/17476933.2020.1747057zbMath1460.31020OpenAlexW3014882742MaRDI QIDQ5856367

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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/10.1080/17476933.2020.1747057

zbMATH Keywords

variational methods\(p\)-Laplacian\(p\)-biharmonic equation

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for higher-order elliptic equations (35J35)

Related Items (13)

VARIATIONAL ANALYSIS FOR FRACTIONAL EQUATIONS WITH VARIABLE EXPONENTS: EXISTENCE, MULTIPLICITY AND NONEXISTENCE RESULTS ⋮ Multiplicity of Solutions for Some $p(x)$-Biharmonic Problem ⋮ On the discretization of evolution <i>p</i>-bi-Laplace equation ⋮ Multiplicity results involving \(p\)-biharmonic Kirchhoff-type problems ⋮ Multiplicity of nontrivial solutions for a class of fractional elliptic equations ⋮ Existence and multiplicity of solutions for some Styklov problem involving p(x)-Laplacian operator ⋮ Existence and multiplicity of solutions for some Steklov problem involving (p₁(x), p₂(x))-Laplacian operator ⋮ Nehari manifold for singular fractionalp(x,.)-Laplacian problem ⋮ Existence Results for Singular p(x)-Laplacian Equation ⋮ Multiplicity of solutions for elliptic equations involving fractional operator and sign-changing nonlinearity ⋮ Unnamed Item ⋮ Existence of solution for a singular fractional Laplacian problem with variable exponents and indefinite weights ⋮ The Nehari manifold approach involving a singular \(p(x)\)-biharmonic problem with Navier boundary conditions

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