Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627548 | Applied Mathematics and Computation | 2014 | 9 Pages |
Abstract
In this paper, we study the existence of infinitely many nontrivial solutions for a class of nonlinear Schrödinger–Kirchhoff type equation-a+b∫RN|∇u|2dxΔu+V(x)u=f(x,u)inRN,u(x)→0,as|x|→∞,where constants a>0,b>0 and the potential V(x)V(x) is allowed to be sign-changing. Under general superlinear assumption on nonlinearity f(x,u)f(x,u), we establish the existence of infinitely many solutions via variational methods, which unifies and improves the recent results of Wu (2011) [9].
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jian Zhang, Xianhua Tang, Wen Zhang,