Eigenvalues of the \(p(x)\)-biharmonic operator with indefinite weight

DOI10.1007/s00033-014-0465-yzbMath1319.35147OpenAlexW2313670551MaRDI QIDQ2355735

Bin Ge, Yuhu Wu, Qing-Mei Zhou

Publication date: 24 July 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-014-0465-y

zbMATH Keywords

eigenvalue problemEkeland's variational principlemountain pass lemma\(p(x)\)-biharmonic operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Boundary value problems for nonlinear higher-order PDEs (35G30) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (24)

Multiplicity of Solutions for Some $p(x)$-Biharmonic Problem ⋮ On a Kirchhoff singular \(p(x)\)-biharmonic problem with Navier boundary conditions ⋮ Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions ⋮ On principal eigenvalues of biharmonic systems ⋮ On a \(p(x)\)-biharmonic problem with singular weights ⋮ On the existence of a weak solution for some singular \(p(x)\)-biharmonic equation with Navier boundary conditions ⋮ Unnamed Item ⋮ Existence and Asymptotic Behavior of Beam-Equation Solutions with Strong Damping and p(x)-Biharmonic Operator ⋮ On the behavior of solutions for a class of nonlinear viscoelastic fourth-order \(p(x)\)-Laplacian equation ⋮ Mixed finite element method for a beam equation with the \(p(x)\)-biharmonic operator ⋮ On the solvability of variable exponent differential inclusion systems with multivalued convection term ⋮ Existence of beam-equation solutions with strong damping and p(x)-biharmonic operator ⋮ Unnamed Item ⋮ The fibering map approach to a nonlocal problem involving \(p(x)\)-Laplacian ⋮ A class of elliptic equations involving nonlocal integrodifferential operators with sign-changing weight functions ⋮ Uniqueness of weak solutions for a biharmonic problem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ For a class of \(p(x)\)-biharmonic operators with weights ⋮ Multiple solutions for nonlinear Navier boundary systems involving \((p_1(x), \ldots, p_n(x))\)-biharmonic problem ⋮ Existence results of infinitely many solutions for \(p(x)\)-Kirchhoff type triharmonic operator with Navier boundary conditions ⋮ The Nehari manifold approach involving a singular \(p(x)\)-biharmonic problem with Navier boundary conditions ⋮ On a bi-nonlocal fourth order elliptic problem

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