Existence of three solutions for a class of (p1,\ldots,pn)-biharmonic systems with Navier boundary conditions

DOI10.4064/ap104-3-4zbMath1255.35103OpenAlexW2331545284MaRDI QIDQ2880822

Shapour Heidarkhani, Chun-Lei Tang, Yu Tian

Publication date: 17 April 2012

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap104-3-4

zbMATH Keywords

critical point theorybiharmonic systemNavier boundary conditionsthree weak solutions

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Boundary value problems for higher-order elliptic systems (35J58)

Related Items (10)

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 ⋮ Positive radial solutions for quasilinear biharmonic equations ⋮ Perturbed fourth-order Kirchhoff-type problems ⋮ Unnamed Item

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