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Single--peaks for a magnetic Schrödinger equation with critic al growth

S. Barile·S. Cingolani·S. Secchi
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Abstract

We prove existence results of complex-valued solutions for a semilinear Schrödinger 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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S. Barile, S. Cingolani, S. Secchi. 2006-06-27. Single--peaks for a magnetic Schrödinger equation with critic al growth. https://arxiv.org/abs/math/0606669

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