| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841562 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 12 Pages |
Abstract
In this paper we study existence of solutions for the following variational semilinear singular system: {u>0inΩ,u∈H01(Ω):−div(A(x)∇u)=θzpu1−θ,z>0inΩ,z∈H01(Ω):−div(M(x)∇z)=puθzp−1, where ΩΩ is a bounded open subset of RN,N>2,ARN,N>2,A and MM are bounded measurable elliptic matrices, and pp and θθ are such that 0<θ<1,p>0,θ+p<2∗.
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Authors
Lucio Boccardo, Luigi Orsina,