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Existence of Solutions for Degenerate Elliptic Problems in Weighted Sobolev Space.
- Source :
-
Journal of Function Spaces . 12/2/2015, p1-9. 9p. - Publication Year :
- 2015
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 113599063
- Full Text :
- https://doi.org/10.1155/2015/265127