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

Autor(es)

Bellazzini, Jacopo ^[1] ; Siciliano, Gaetano ^[2]

Afiliação do(s) autor(es)

^[1] Univ Pisa, Dipartimento Matemat Applicata U Dini, I-56127 Pisa - Italy

^[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 62, n. 2, p. 267-280, APR 2011.
• Citações Web of Science: 27

Resumo

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)

• Processo FAPESP: 10/00068-6 - Métodos variacionais e topológicos para equaçoes de campo
• Beneficiário: Gaetano Siciliano
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado