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

  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},
  pages={637 - 680}
  • V. Ambrosio
  • Published 30 December 2017
  • Mathematics
  • Communications in Partial Differential Equations
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. 
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