A global attractor for a \(p(x)\)-Laplacian parabolic problem

DOI10.1016/j.na.2010.06.087zbMath1201.35053OpenAlexW2034690464MaRDI QIDQ708662

Jacson Simsen

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.087

zbMATH Keywords

attractorsDirichlet boundary conditionsparabolic problems\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations with (p)-Laplacian (35K92)

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Cites Work

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• Orlicz spaces and modular spaces
• Infinite-dimensional dynamical systems in mechanics and physics
• On generalized Orlicz-Sobolev space
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• The critical forms of the attractors for semigroups and the existence of critical attractors
• Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
• 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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