Global attractors for degenerate semilinear parabolic equations

W Niu - Nonlinear Analysis: Theory, Methods & Applications, 2013 - Elsevier
Let Ω be a smooth bounded domain in RN,(N≥ 2). We consider the long-time behavior of
solutions to the following problem where u0, g∈ L1 (Ω). The diffusion coefficient σ (x) is …

Asymptotic behavior for nonlinear degenerate parabolic equations with irregular data

W Niu, Q Meng, X Chai - Applicable Analysis, 2021 - Taylor & Francis
This paper focuses on the following degenerate parabolic equation ut− div (σ (x)|∇ u| p− 2∇
u)+ f (x, u)= gin Ω× R+, u= 0 on∂ Ω× R+, u (x, 0)= u 0 (x) in Ω, where Ω is a smooth bounded …

A note on p-Laplacian parabolic problems in Rn

J Simsen - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
In this work we study the asymptotic behavior of parabolic p-Laplacian problems of the form
in L2 (Rn), where n≥ 1, p> 2, Dλ∈ L∞(Rn),∞> M≥ Dλ (x)≥ σ> 0 ae in Rn, λ∈[0,∞), B: L2 …

GLOBAL ATTRACTORS FOR p-LAPLACIAN DIFFERENTIAL INCLUSIONS IN UNBOUNDED DOMAINS.

J Simsen, J Valero - Discrete & Continuous Dynamical …, 2016 - search.ebscohost.com
In this work we consider a differential inclusion governed by a p-Laplacian operator with a
diffusion coefficient depending on a parameter in which the space variable belongs to an …

[HTML][HTML] Dynamics for a class of non-autonomous degenerate p-Laplacian equations

W Tan - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
In this paper, we investigate a class of non-autonomous degenerate p-Laplacian
equations∂ tu− div (a (x)|∇ u| p− 2∇ u)+ λ u+ f (u)= g (x, t) in Ω, where a (x) is allowed to …

The global existence and attractor for p-Laplace equations in unbounded domains

R Farwig, C Qian - Journal of Elliptic and Parabolic Equations, 2020 - Springer
The asymptotic behavior for a class of parabolic p-Laplace equations in an open bounded or
unbounded domain of R^ N RN is investigated. Based on a general condition on the …