Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591297 | Journal of Functional Analysis | 2012 | 34 Pages |
Abstract
In this paper we study semiclassical states for the problem−ε2Δu+V(x)u=f(u)in N, where f(u)f(u) is a superlinear nonlinear term. Under our hypotheses on f a Lyapunov–Schmidt reduction is not possible. We use variational methods to prove the existence of spikes around saddle points of the potential V(x)V(x).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Pietro dʼAvenia, Alessio Pomponio, David Ruiz,