| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4619571 | Journal of Mathematical Analysis and Applications | 2010 | 10 Pages |
Abstract
In this paper we consider the following Schrödinger equation:{−Δu+V(x)u=g(x,u)for x∈RN,u(x)→0as |x|→∞, where V(x)V(x) and g(x,u)g(x,u) are periodic with respect to x and 0 is a boundary point of the spectrum σ(−Δ+V)σ(−Δ+V). Replacing the classical Ambrosetti–Rabinowitz superlinear assumption on g(x,u)g(x,u) by a general super-quadratic condition, we are able to obtain the existence of nontrivial solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Minbo Yang, Wenxiong Chen, Yanheng Ding,