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.
On the existence of periodic solutions for a fractional Schrödinger equation / Ambrosio, Vincenzo. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 146:9(2018), pp. 3767-3775. [10.1090/proc/13630]
On the existence of periodic solutions for a fractional Schrödinger equation
Ambrosio, Vincenzo
2018-01-01
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.File in questo prodotto:
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