Infinitely many solutions for elliptic problems with variable exponent and nonlinear boundary conditions

DOI10.1007/s00030-011-0126-1zbMath1245.35060OpenAlexW1972274179MaRDI QIDQ430764

Maria-Magdalena Boureanu, Felician Preda

Publication date: 26 June 2012

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-011-0126-1

zbMATH Keywords

quasilinear elliptic equationsFountain theoremvariable exponent Lebesgue-Sobolev spacesmultiple weak solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

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Cites Work

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• Solutions for Neumann boundary value problems involving \(p(x)\)-Laplace operators
• Multiple solutions for \(p\)-Laplacian type equations
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• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
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