Multiple solutions for a class of \((p_1, \dots, p_n)\)-biharmonic systems

DOI10.3934/cpaa.2013.12.1393zbMath1268.35049OpenAlexW2328210802MaRDI QIDQ1948395

Lingju Kong, Shapour Heidarkhani, John R. Graef

Publication date: 6 May 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.1393

zbMATH Keywords

variational methodscritical pointsmultiplicity resultsthree solutions\((p_{1}, \dots, p_{n})\)-biharmonic systems

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Weak solutions to PDEs (35D30) Higher-order elliptic systems (35J48)

Related Items (11)

Perturbed nonlocal fourth order equations of Kirchhoff type with Navier boundary conditions ⋮ Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions ⋮ One solution for nonlocal fourth order equations ⋮ Existence results for perturbed fourth-order Kirchhoff type elliptic problems with singular term ⋮ Infinitely many solutions for systems of \(n\) fourth order partial differential equations coupled with Navier boundary conditions ⋮ Multiplicity results for perturbed fourth-order Kirchhoff type elliptic problems ⋮ Existence of multiple solutions for a quasilinear biharmonic equation ⋮ Perturbed fourth-order Kirchhoff-type problems ⋮ Multiple solutions for nonlinear Navier boundary systems involving \((p_1(x), \ldots, p_n(x))\)-biharmonic problem ⋮ Eigenvalues for a fourth order elliptic problem ⋮ On a fourth order elliptic problem with a \(p(x)\)-biharmonic operator

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