Lap number properties for \(p\)-Laplacian problems investigated by Lyapunov methods

DOI10.1016/J.NA.2006.01.006zbMath1114.35107OpenAlexW1986334541MaRDI QIDQ867826

Simone M. Bruschi, Cláudia Buttarello Gentile

Publication date: 19 February 2007

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.2006.01.006

zbMATH Keywords

maximal monotone operatorone space dimension\(\omega\)-limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65)

Related Items (3)

Continuity properties on \(p\) for \(p\)-Laplacian parabolic problems ⋮ An example of noncontinuous attractors ⋮ Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Asymptotic properties of a reaction-diffusion equation with degenerate \(p\)-Laplacian
• The Lyapunov method for semigroups of nonlinear contractions in Banach spaces
• Asymptotic behaviour of nonlinear parabolic equations with monotone principal part.
• On certain second order ordinary differential equations associated with Sobolev-Poincaré-type inequalities
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
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