# Existence and concentration results for some fractional Schrödinger equations in with magnetic fields

@article{Ambrosio2019ExistenceAC, title={Existence and concentration results for some fractional Schr{\"o}dinger equations in with magnetic fields}, author={Vincenzo Ambrosio}, journal={Communications in Partial Differential Equations}, year={2019}, volume={44}, pages={637 - 680} }

Abstract We consider some nonlinear fractional Schrödinger 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.

## 16 Citations

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