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arXiv · 1801.00199

Existence and concentration results for some fractional Schr\"odinger equations in $\mathbb{R}^{N}$ with magnetic fields

Vincenzo Ambrosio
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Abstract

We consider some nonlinear fractional Schr\"odinger equations with magnetic field and involving continuous nonlinearities having subcritical, critical or supercritical growth. Under a local condition on the potential, we use minimax methods to investigate the existence and concentration of nontrivial weak solutions.

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Vincenzo Ambrosio. 2017-12-30. Existence and concentration results for some fractional Schr\"odinger equations in $\mathbb{R}^{N}$ with magnetic fields. https://doi.org/10.1080/03605302.2019.1581800

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