Infinitely many weak solutions for a fractional Schrödinger equation
1 Department of Mathematics, Hebei University of Engineering, Handan 056038, Hebei, China
2 School of Mathematics, Shandong University, Jinan 250100, Shandong, China
3 Department of Mathematics, Shandong Jianzhu University, Jinan 250101, Shandong, China
Boundary Value Problems 2014, 2014:159 doi:10.1186/s13661-014-0159-6Published: 12 July 2014
In this paper we are concerned with the fractional Schrödinger equation , , where , , stands for the fractional Laplacian of order α, V is a positive continuous potential, and f is a continuous subcritical nonlinearity. We obtain the existence of infinitely many weak solutions for the above problem by the fountain theorem in critical point theory.