Article ID Journal Published Year Pages File Type
843479 Nonlinear Analysis: Theory, Methods & Applications 2009 12 Pages PDF
Abstract

We mainly consider the existence and asymptotic behavior of positive solutions of the following system {−△p(x)u=λp(x)f(v)inΩ,−△p(x)v=λp(x)g(u)inΩ,u=v=0on∂Ω, where Ω⊂RNΩ⊂RN is a bounded domain with C2C2 boundary ∂Ω∂Ω, 10,where p−=infx∈Ωp(x).In particular, we do not assume any symmetric condition, and we do not assume any sign condition on f(0)f(0) and g(0)g(0).

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