Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900320 | Journal of Mathematical Analysis and Applications | 2018 | 22 Pages |
Abstract
In this paper, we investigate a class of non-autonomous degenerate p-Laplacian equationsâtuâdiv(a(x)|âu|pâ2âu)+λu+f(u)=g(x,t) in Ω, where a(x) is allowed to vanish on a nonempty closed subset with Lebesgue measure zero, g(x,t)âLlocpâ²(R;Dâ1,pâ²(Ω,a)) and Ω an unbounded domain in RN. We first establish the well-posedness of these equations by constructing a compact embedding. Then we show the existence of the minimal pullback Dμ-attractor, and prove that it indeed attracts the Dμ class in L2+δ-norm for any δâ[0,â). Our results extend some known ones in previously published papers.
Keywords
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wen Tan,