scientific article

zbMath1424.35154MaRDI QIDQ3119783

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Publication date: 13 March 2019

Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol36-4/Art13-4.pdf

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zbMATH Keywords

variational methods\(p(x)\)-Laplace operatorgeneralized Lebesgue-Sobolev spacesstrongly system

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)

Related Items (1)

On the solvability of variable exponent differential inclusion systems with multivalued convection term

Cites Work

• Existence of solutions for a class of elliptic systems in \(\mathbb R^{N}\) involving the \((p(x),q(x))\)-Laplacian
• Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• Dual variational methods in critical point theory and applications
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Regularity results for a class of functionals with non-standard growth
• 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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