EXISTENCE OF THREE SOLUTIONS FOR A NAVIER BOUNDARY VALUE PROBLEM INVOLVING THE p(x)-BIHARMONIC

DOI10.4134/BKMS.2013.50.6.1817zbMath1283.35050MaRDI QIDQ2872171

Honghui Yin, Ying Liu

Publication date: 14 January 2014

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://mathnet.or.kr/mathnet/kms_content.php?no=411278

zbMATH Keywords

weak solutionsquasilinear elliptic equationsNavier boundary value problembiharmonic operators

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Existence of solutions for minimax problems (49J35) Weak solutions to PDEs (35D30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (13)

Multiplicity of Solutions for Some $p(x)$-Biharmonic Problem ⋮ 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 ⋮ Multiple solutions for a fourth-order elliptic equation involving singularity ⋮ Infinitely many weak solutions for a p-triharmonic problem with Navier boundary conditions ⋮ Existence of two non-zero weak solutions for a \(p(\cdot)\)-biharmonic problem with Navier boundary conditions ⋮ Mixed finite element method for a beam equation with the \(p(x)\)-biharmonic operator ⋮ Unnamed Item ⋮ On a \(p(\cdot)\)-biharmonic problem with no-flux boundary condition ⋮ Existence of two non-zero weak solutions for a nonlinear Navier boundary value problem involving the \(p\)-biharmonic ⋮ Existence results of infinitely many solutions for \(p(x)\)-Kirchhoff type triharmonic operator with Navier boundary conditions ⋮ Critical points approaches to a nonlocal elliptic problem driven by \(p(x)\)-biharmonic operator ⋮ Unnamed Item

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