Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622306 | Journal of Mathematical Analysis and Applications | 2007 | 13 Pages |
Abstract
We mainly consider the system{−Δp(x)u=λf(x,v)inΩ,−Δp(x)v=λg(x,u)inΩ,u=v=0on∂Ω, where Ω⊂RNΩ⊂RN is a bounded domain, p(x)p(x) is a function which satisfies some conditions, −Δp(x)u=−div(|∇u|p(x)−2∇u)−Δp(x)u=−div(|∇u|p(x)−2∇u) is called p(x)p(x)-Laplacian. We give the existence of positive solutions under some conditions. In particular, we do not assume radial symmetric conditions on the system.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qihu Zhang,