Non-linear Schrodinger equation with non-local regional diffusion

Author	dc.contributor.author	Felmer Aichele, Patricio
Author	dc.contributor.author	Torres, César
Admission date	dc.date.accessioned	2015-11-26T20:19:36Z
Available date	dc.date.available	2015-11-26T20:19:36Z
Publication date	dc.date.issued	2015
Cita de ítem	dc.identifier.citation	Calculus of Variations (2015) 54:75–98	en_US
Identifier	dc.identifier.other	DOI: 10.1007/s00526-014-0778-x
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/135283
General note	dc.description	Artículo de publicación ISI	en_US
Abstract	dc.description.abstract	In this article we are interested in the nonlinear Schrodinger equation with non-local regional difussion epsilon(2 alpha)(-Delta)(rho)(alpha)u + u = f (u) in R-n, u epsilon H-alpha(R-n), where f is a super-linear sub-critical function and (-Delta)(rho)(alpha) is a variational version of the regional laplacian, whose range of scope is a ball with radius rho(x) > 0. We study the existence of a ground state and we analyze the behavior of semi-classical solutions as epsilon --> 0.	en_US
Patrocinador	dc.description.sponsorship	Fondecyt 1110291	en_US
Lenguage	dc.language.iso	en	en_US
Publisher	dc.publisher	Springer	en_US
Type of license	dc.rights	Atribución-NoComercial-SinDerivadas 3.0 Chile	*
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/	*
Keywords	dc.subject	Fractional laplacian	en_US
Keywords	dc.subject	States	en_US
Título	dc.title	Non-linear Schrodinger equation with non-local regional diffusion	en_US
Document type	dc.type	Artículo de revista

Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 Chile