Semi-classical limit for radial non-linear Schrodinger equation

Author	dc.contributor.author	Castro, Rodrigo
Author	dc.contributor.author	Felmer Aichele, Patricio	es_CL
Admission date	dc.date.accessioned	2007-04-18T17:03:28Z
Available date	dc.date.available	2007-04-18T17:03:28Z
Publication date	dc.date.issued	2005-06
Cita de ítem	dc.identifier.citation	COMMUNICATIONS IN MATHEMATICAL PHYSICS 256 (2): 411-435 JUN 2005	en
Identifier	dc.identifier.issn	0010-3616
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/124511
Abstract	dc.description.abstract	We consider the nonlinear Schrodinger equation epsilon(2)Delta u - V (x) u + \| u\|(p-1) u = 0, x is an element of R-N, with superlinear and subcritical nonlinearity. Assuming that the potential is radially symmetric we find radial sign-changing solutions of the equation that concentrate in a ball, as the parameter e goes to zero. We study the asymptotic profile of these highly oscillatory solutions, completely characterizing their behavior by means of an envelope function.	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	SPRINGER	en
Keywords	dc.subject	PERTURBED ELLIPTIC-EQUATIONS	en
Título	dc.title	Semi-classical limit for radial non-linear Schrodinger equation	en
Document type	dc.type	Artículo de revista