scientific article; zbMATH DE number 7034012

zbMath1424.35188MaRDI QIDQ4627507

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Publication date: 11 March 2019

Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol34-1/Art18.pdf

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zbMATH Keywords

Neumann problemvariable exponentfourth order elliptic equation\(p(x)\)-biharmonic operator

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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Cites Work

• On the spectrum of a fourth order elliptic equation with variable exponent
• Ljusternik-Schnirelmann theory on \(C^ 1\)-manifolds
• Electrorheological fluids: modeling and mathematical theory
• On the discreteness of the spectra of the Dirichlet and Neumann \(p\)-biharmonic problems
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators
• The third order spectrum of the p-biharmonic operator with weight
• Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
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