Article ID Journal Published Year Pages File Type
4619571 Journal of Mathematical Analysis and Applications 2010 10 Pages PDF
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
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