In this paper we study semiclassical states for the problem where 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).
Semi-classical states for the Nonlinear Schrödinger Equation on saddle points of the potential via variational methods / D'Avenia, Pietro; Pomponio, Alessio; Ruiz, David. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - STAMPA. - 262:10(2012), pp. 4600-4633. [10.1016/j.jfa.2012.03.009]
Semi-classical states for the Nonlinear Schrödinger Equation on saddle points of the potential via variational methods
D'AVENIA, Pietro;POMPONIO, Alessio;
2012-01-01
Abstract
In this paper we study semiclassical states for the problem where 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).File in questo prodotto:
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