English

Single--peaks for a magnetic Schr\"{o}dinger equation with critic al growth

Analysis of PDEs 2007-05-23 v1

Abstract

We prove existence results of complex-valued solutions for a semilinear Schr\"odinger equation with critical growth under the perturbation of an external electromagnetic field. Solutions are found via an abstract perturbation result in critical point theory.

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Cite

@article{arxiv.math/0606669,
  title  = {Single--peaks for a magnetic Schr\"{o}dinger equation with critic al growth},
  author = {S. Barile and S. Cingolani and S. Secchi},
  journal= {arXiv preprint arXiv:math/0606669},
  year   = {2007}
}

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