Existence of Solutions for Degenerate Elliptic Problems in Weighted Sobolev Space

This paper is devoted to the study of the existence of solutions to a general elliptic problem Au+g(x,u,∇u)=f-div⁡F, with f∈L1(Ω) and F∈∏i=1NLp'(Ω,ωi*), where A is a Leray-Lions operator from a weighted Sobolev space into its dual and g(x,s,ξ) is a nonlinear term satisfying gx,s,ξsgn⁡(s)≥ρ∑i=1N...

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Bibliographic Details
Main Authors: Lili Dai, Wenjie Gao, Zhongqing Li
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/265127