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We study the following quasilinear problem with nonlinear boundary condition −Δpu − λa x u|u|p−2 b x u|u|γ−2, in Ω and 1 − α |∇u|p−2 ∂u/∂n αu|u|p−2 0, on ∂Ω, where Ω ⊆ R is a connected bounded domain with smooth boundary ∂Ω, the outward unit normal to which is denoted by n.Δp is the p-Laplcian operator defined byΔpu div |∇u|p−2∇u , the functions a and b are… (More)
In this paper we deal with the existence of a positive solution for a class of semilinear systems of multi-singular elliptic equations which involve Sobolev critical exponents. In fact, by the analytic techniques and variational methods, we prove that there exists at least one positive solution for the system.