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- Title
Existence of Solutions for Degenerate Elliptic Problems in Weighted Sobolev Space.
- Authors
Dai, Lili; Gao, Wenjie; Li, Zhongqing
- Abstract
This paper is devoted to the study of the existence of solutions to a general elliptic problem Au+g(x,u,∇u)=f-divF, 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=1Nωi|ξi|p, |s|≥h>0, and a growth condition with respect to ξ. Here, ωi, ωi* are weight functions that will be defined in the Preliminaries.
- Subjects
ELLIPTIC equations; SOBOLEV spaces; NONLINEAR operators; MATHEMATICAL functions; MATHEMATICAL research
- Publication
Journal of Function Spaces, 2015, p1
- ISSN
2314-8896
- Publication type
Article
- DOI
10.1155/2015/265127