Multiple positive solutions for a critical elliptic system with concave and convex nonlinearities.

Abstract: In this paper, we study the multiplicity results of positive solutions for a semi-linear elliptic system involving both concave–convex and critical growth terms. With the help of Nehari manifold and Lusternik–Schnirelmann category, we prove that the problem admits at least distinct positive solutions. [Copyright &y& Elsevier]