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-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=1N...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/265127 |
| Summary: | 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. |
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| ISSN: | 2314-8896 2314-8888 |