Semiclassical states for weakly coupled nonlinear Schrödinger systems

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We consider systems of weakly coupled Schrödinger 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.
23 pages, no figures

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Analysis of PDEs, 34B18; 34G20; 35Q55

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http://salesiana.dossiersoluciones.com/handle/123456789/169890

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.4211
 http://arxiv.org/abs/0809.4211
 J. Eur. Math. Soc. (JEMS) 10 (2008), 47-71

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arXiv