Existence of W01,1Ω Solutions to Non-Coercivity Quasilinear Elliptic Problem

In this paper we consider the existence of W01,1Ω solutions to following kind of problems −div∇up−2∇u/1+uθp−1=fx,x∈Ω;ux=0,x∈∂Ω where Ω is an open bounded subset of RNN>2, maxp−2N+1/p−1N−1,0<θ<1 and 1<p⩽1+N−1/N1−θ+θ, f is a function which belongs to a suitable integrable space....

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Bibliographic Details
Main Authors: Jimao Xiawu, Shuibo Huang, Yingyuan Mi, Maoji Ri
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/5017818
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