EXISTENCE OF POSITIVE SOLUTIONS FOR QUASILINEAR ELLIPTIC SYSTEMS INVOLVING THE p-LAPLACIAN
نویسندگان
چکیده
In this article, we study the existence of positive solutions for the quasilinear elliptic system −∆pu = f(x, u, v) x ∈ Ω, −∆pv = g(x, u, v) x ∈ Ω, u = v = 0 x ∈ ∂Ω. Using degree theoretic arguments based on the degree map for operators of type (S)+, under suitable assumptions on the nonlinearities, we prove the existence of positive weak solutions.
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تاریخ انتشار 2009