Localization phenomena in nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities: theory and applications to Bose-Einstein condensates
type: Item
instance of: scholarly article
title: Localization phenomena in nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities: theory and applications to Bose-Einstein condensates
zbMATH Open document ID: 1167.82333
author: Víctor M. Pérez-García
author: Rosa Pardo
published in: Physica D
publication date: 2009-08-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/0804.2730
Mathematics Subject Classification ID: 82C10
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 82C22
Mathematics Subject Classification ID: 81V70
zbMATH DE Number: 5593899
zbMATH Keywords: nonlinear Schrödinger equations
zbMATH Keywords: inhomogeneous interactions
zbMATH Keywords: localization
MaRDI profile type: Publication
OpenAlex ID: W1992405216
arXiv ID: 0804.2730
cites work: Q5697068
cites work: Divergence-free WKB theory
cites work: Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: matter-wave breathers
cites work: DYNAMICS OF BRIGHT MATTER WAVE SOLITONS IN A BOSE–EINSTEIN CONDENSATE
cites work: Guided waves in a multi-layered optical structure
cites work: Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure
cites work: Modulated amplitude waves in collisionally inhomogeneous Bose-Einstein condensates
cites work: Lie symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
cites work: Q4274312
cites work: Pointwise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs
cites work: Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
cites work: First variations of principal eigenvalues with respect to the domain and point-wise growth of positive solutions for problems where bifurcation from infinity occurs
cites work: Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
cites work: Monotonicity for eigenvalues of the Schrödinger operator on unbounded domains
cites work: Q5786104
cites work: Q3992446
cites work: Q4748596
cites work: Bifurcation, perturbation of simple eigenvalues, and linearized stability
cites work: Some global results for nonlinear eigenvalue problems
cites work: On bifurcation from infinity
cites work: A priori bounds and multiple solutions for superlinear indefinite elliptic problems
cites work: Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
DOI: 10.1016/J.PHYSD.2008.08.020
description: scientific article