Existence of Nontrivial Positive Solutions to a Semilinear Elliptic System with Variable Coefficients

Abstract

This paper studies the nontrivial positive solutions to a semilinear elliptic system with variable coefficients in the n dimensional Euclide space. By constructing a new variational space and using some linking theorems, this paper finally proves the existence of positive solution to a semilinear elliptic system.