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arxiv: math/0606669 · v1 · submitted 2006-06-27 · 🧮 math.AP

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

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keywords criticalequationgrowthperturbationschrsolutionsabstractcomplex-valued
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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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