Positive Radial Solutions for a Class of Elliptic Systems Concentrating on Spheres With Potential Decay

Abstract

Abstract. We deal with the existence of positive radial solutions concentrating on spheres for the following class of elliptic systemwhere ε is a small positive parameter;are radially symmetric potentials; Q is a (p + 1)-homogeneous function and p is subcritical, that is, 1 < p < 2 * − 1, where 2 * = 2N/(N − 2) is the critical Sobolev exponent for N ≥ 3.