Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator

DOI10.22130/SCMA.2017.27915zbMath1424.35162OpenAlexW2772311299MaRDI QIDQ4647077

Ali Taghavi, Horieh Ghorbani, Ghasem Alizadeh Afrouzi

Publication date: 4 January 2019

Full work available at URL: https://doaj.org/article/313b9bbcf8204205b8b72ce742972c63

zbMATH Keywords

Dirichlet problem\(p(x)\)-Laplacianthree solutionsvariable exponent Sobolev space

Mathematics Subject Classification ID

Quasilinear elliptic equations (35J62) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• A three critical points theorem revisited
• Existence of three solutions for a class of quasilinear elliptic systems involving the \((p(x),q(x))\)-Laplacian
• Electrorheological fluids: modeling and mathematical theory
• Existence results to elliptic systems with nonstandard growth conditions
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• A general variational principle and some of its applications
• Existence of three solutions for a Neumann problem involving thep(x)-Laplace operator
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
• Regularity results for a class of functionals with non-standard growth
• Existence of three solutions for a class of elliptic eigenvalue problems
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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