EXISTENCE AND ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS FOR A CLASS OF (p(x), q(x))-LAPLACIAN SYSTEMS

Abstract. In this paper, our main purpose is to establish the existence of positive solution of the following system where Ω ⊂ R N is a bounded domain with C 2 boundary, p(x),q(x) are functions which satisfy some conditions, We give the existence results of positive solutions and consider the asymptotic behavior of the solutions near the boundary. The approach is based on the sub-and super-solution method