The fractional Hartree equation without the Ambrosetti-Rabinowitz condition

Published 27 Jun 2016 in math.AP | (1606.08211v1)

Abstract: We consider a class of pseudo-relativistic Hartree equations in presence of general nonlinearities not satisfying the Ambrosetti-Rabinowitz condition. Using variational methods based on critical point theory, we show the existence of two non trivial signed solutions, one positive and one negative.

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