Eigenvalues for a fourth order elliptic problem

DOI10.1090/S0002-9939-2014-12213-1zbMath1317.35166OpenAlexW2088140839MaRDI QIDQ5496249

Lingju Kong

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2014-12213-1

zbMATH Keywords

eigenvaluesweak solutionscritical pointsEkeland's variational principle\(p(x)\)-biharmonic operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary value problems for higher-order elliptic equations (35J40) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (24)

Multiplicity of Solutions for Some $p(x)$-Biharmonic Problem ⋮ Existence of multiple solutions for a fourth-order problem with variable exponent ⋮ On a p⋅-biharmonic problem of Kirchhoff type involving critical growth ⋮ Eigenvalues for a Neumann boundary problem involving the \(p(x)\)-Laplacian ⋮ Combined effects of concave-convex nonlinearities in a fourth-order problem with variable exponent ⋮ Multiple solutions for nonlocal elliptic problems driven by \(p(x)\)-biharmonic operator ⋮ Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions ⋮ On principal eigenvalues of biharmonic systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a class of a boundary value problems involving the p(x)-Biharmonic operator ⋮ Uniqueness of weak solutions for a biharmonic problem ⋮ Existence results for a 2nth-order differential equation via variational methods ⋮ Unnamed Item ⋮ Weak solutions for nonlinear Neumann boundary value problems with \(p(x)\)-Laplacian operators ⋮ On a \(p(\cdot)\)-biharmonic problem with no-flux boundary condition ⋮ Positive radial solutions for quasilinear biharmonic equations ⋮ Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators ⋮ For a class of \(p(x)\)-biharmonic operators with weights ⋮ Existence results of infinitely many solutions for \(p(x)\)-Kirchhoff type triharmonic operator with Navier boundary conditions ⋮ Unnamed Item ⋮ Existence Results for a 2nth-Order Differential Equation with Sturm-Liouville Operator ⋮ On a fourth order elliptic problem with a \(p(x)\)-biharmonic operator ⋮ Unnamed Item

Cites Work

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