On the existence of periodic solutions for a fractional Schrödinger equation

Ambrosio, Vincenzo

doi:10.1090/proc/13630

On the existence of periodic solutions for a fractional Schrödinger equation
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by Vincenzo Ambrosio

Proc. Amer. Math. Soc. 146 (2018), 3767-3775

DOI: https://doi.org/10.1090/proc/13630

Published electronically: June 1, 2018

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Abstract:

We present an elementary proof of the existence of a nontrivial weak periodic solution for a nonlinear fractional problem driven by a relativistic Schrödinger operator with periodic boundary conditions and involving a periodic continuous subcritical nonlinearity satisfying a more general Ambrosetti-Rabinowitz condition.

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