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.

Existence and concentration results for some fractional Schrödinger equations in R^N with magnetic fields / Ambrosio, V.. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - 44:8(2019), pp. 637-680. [10.1080/03605302.2019.1581800]

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

Ambrosio V.
2019-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/269407
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