Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 146, Issue 9, Pages 3767-3775Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/13630
Keywords
Periodic solutions; nonlocal operators; Ambrosetti-Rabinowitz condition; critical points
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We present an elementary proof of the existence of a nontrivial weak periodic solution for a nonlinear fractional problem driven by a relativistic Schrodinger operator with periodic boundary conditions and involving a periodic continuous subcritical nonlinearity satisfying a more general Ambrosetti-Rabinowitz condition.
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