A note on \(p\)-Laplacian parabolic problems in \(\mathbb R^n\)

DOI10.1016/j.na.2012.08.007zbMath1252.35080OpenAlexW2047766644MaRDI QIDQ714489

Jacson Simsen

Publication date: 11 October 2012

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.2012.08.007

zbMATH Keywords

unbounded domainsupper-semicontinuous dependence

Mathematics Subject Classification ID

Attractors (35B41) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items

Parabolic problems in R n with spatially variable exponents ⋮ Global attractors for \(p\)-Laplacian differential inclusions in unbounded domains ⋮ Existence, regularity and approximation of global attractors for weakly dissipative \(p\)-Laplace equations ⋮ Unnamed Item ⋮ Perturbation of a nonautonomous problem in Rn ⋮ Existence and upper semicontinuity of pullback attractors for non-autonomous \(p\)-Laplacian parabolic problems

Cites Work

• Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain
• Well-posed \(p\)-Laplacian problems with large diffusion
• Existence of a global attractor for a \(p\)-Laplacian equation in \(\mathbb {R}^n\)
• On \(p\)-Laplacian differential inclusions-global existence, compactness properties and asymptotic behavior
• Global attractors for one dimensional \(p\)-Laplacian equation
• Attractors for partly dissipative reaction diffusion systems in \(\mathbb{R}^n\)
• Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
• Attractors for parametric delay differential equations without uniqueness and their upper semicontinuous behaviour
• Global attractors for weighted p-Laplacian equations with boundary degeneracy
• A General Approximation Scheme for Attractors of Abstract Parabolic Problems
• Supersolutions and stabilization of the solutions of the equation: (∂u/∂t) − div(|∇u|p−2∇u)=f(x,u)
• Partly dissipative systems in uniformly local spaces
• Attractors of partial differential evolution equations in an unbounded domain
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