Stable standing waves for a class of nonlinear Schrodinger-Poisson equations

Full text
Author(s):	Bellazzini, Jacopo ^[1] ; Siciliano, Gaetano ^[2] Total Authors: 2
Affiliation:	^[1] Univ Pisa, Dipartimento Matemat Applicata U Dini, I-56127 Pisa - Italy ^[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 62, n. 2, p. 267-280, APR 2011.
Web of Science Citations:	27
Abstract
We prove the existence of orbitally stable standing waves with prescribed L (2)-norm for the following Schrodinger-Poisson type equation our approach recovers the result of Sanchez and Soler (J Stat Phys 114:179-204, 2004) for sufficiently small charges. The main point is the analysis of the compactness of minimizing sequences for the related constrained minimization problem. In the final section, a further application to the Schrodinger equation involving the biharmonic operator is given. (AU)

FAPESP's process:	10/00068-6 - Variational and topologucal methods for field equations
Grantee:	Gaetano Siciliano
Support Opportunities:	Scholarships in Brazil - Post-Doctoral