Multiple solutions of critical singular degenerate elliptic system with concave-convex nonlinearities

Chang-Mu Chu, Lin Li

This paper is devoted to study a class of critical singular degenerate elliptic system with concave-convex nonlinearities and sign-changing weight functions. The existence and multiplicity of nontrivial nonnegative solutions are obtained by the variational. 

Tbilisi Mathematical Journal, Vol. 11(3) (2018), pp. 157-174