Multiplicity of small negative-energy solutions for a class of nonlinear Schrödinger–Poisson systems

• DOI: 10.1016/j.amc.2014.06.043
• Publication Date: 2014-07-08T12:17:17Z
• Authors: Liping Xu; Haibo Chen
• Keywords: 0101 mathematics; 01 natural sciences

This paper deals with the following nonlinear Schrodinger-Poisson [email protected]+V(x)u+K(x)@f(x)u=H(x)f(x,u),inR^3,[email protected]@f=K(x)u^2,inR^3,where V(x), K(x) and H(x) are nonnegative continuous functions. Under appropriate assumptions on V(x), K(x),H(x) and f(x,u), we prove the existence of infinitely many small negative-energy solutions by using the variant fountain theorem established by Zou. Recent results from the literature are extended.