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arXiv · 1606.08211

The fractional Hartree equation without the Ambrosetti-Rabinowitz condition

Mauro Francesconi·Dimitri Mugnai
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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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Mauro Francesconi, Dimitri Mugnai. 2016-06-27. The fractional Hartree equation without the Ambrosetti-Rabinowitz condition. https://arxiv.org/abs/1606.08211

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