Abstract
We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method. The main results of the present paper are new and extend some previous results in the literature.
Highlights
This paper is concerned with the study of positive boundary blow-up solutions to a quasilinear elliptic system of competitive type: Δpu a x uavb in Ω, Δpv b x ucve in Ω, 1.1 u v ∞ on ∂Ω, where Ω is a bounded C2 domain of RN and Δp stands for the p-Laplacian operator defined by Δpu div |∇u|p−2∇u, p > 1
We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method
This is a huge amount of literature dealing with single equation with infinite boundary conditions see, e.g., 13–34
Summary
Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior. We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method. The main results of the present paper are new and extend some previous results in the literature
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