Multiple positive solutions for a critical elliptic system with concave-convex nonlinearities. (English) Zbl 1183.35117
Summary: We consider a semilinear elliptic system with both concave-convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.
MSC:
35J57 | Boundary value problems for second-order elliptic systems |
35J61 | Semilinear elliptic equations |
35B09 | Positive solutions to PDEs |
35J50 | Variational methods for elliptic systems |