Semiclassical states for weakly coupled nonlinear Schr\"odinger systems
Analysis of PDEs
2008-09-25 v1
Abstract
We consider systems of weakly coupled Schr\"odinger equations with nonconstant potentials and we investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.
Cite
@article{arxiv.0809.4211,
title = {Semiclassical states for weakly coupled nonlinear Schr\"odinger systems},
author = {Eugenio Montefusco and Benedetta Pellacci and Marco Squassina},
journal= {arXiv preprint arXiv:0809.4211},
year = {2008}
}
Comments
23 pages, no figures