A positive bound state for an asymptotically linear or superlinear Schrödinger equation


Por: Clapp, Monica, Maia, Liliane A.

Publicada: 15 feb 2016
Categoría: Analysis

Resumen:
We establish existence of a positive solution to the stationary nonlinear Schrödinger equation. -du+V(x)u=f(u),u?H1(RN), in situations where this problem does not have a ground state. We consider general superlinear nonlinearities and asymptotically linear ones, as well. © 2015 Elsevier Inc.

Filiaciones:
Clapp, Monica:
 Univ Nacl Autonoma Mexico, Inst Matemat, Circuito Exterior, Ciudad Univ, Mexico City 04510, DF, Mexico

Maia, Liliane A.:
 Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil
ISSN: 00220396
Editorial
Academic Press Inc., 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA, Estados Unidos America
Tipo de documento: Article
Volumen: 260 Número: 4
Páginas: 3173-3192
WOS Id: 000373536700002