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.
Lin Wei. Zuodong Yang. "Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior." Int. J. Differ. Equ. 2010 (SI3) 1 - 17, 2010. https://doi.org/10.1155/2010/104625