Multiplicity solutions of a class fractional Schrödinger equations

Abstract

Abstract:In this paper, we study the existence of nontrivial solutions to a class fractional SchrR odinger equationsu.x/ u.y/ jx yj N C2s dy; x 2 R N is a fractional operator and s 2 .0; 1/. By using variational methods, we prove this problem has at least two nontrivial solutions in a suitable weighted fractional Sobolev space.