On fractional Schrödinger equations with Hartree type nonlinearities

Goal of this paper is to study the following doubly nonlocal equation $(- \Delta)^s u + \mu u = (I_\alpha*F(u))F'(u) \quad {\rm{in}}\;{\mathbb{R}^N}\qquad\qquad\qquad\qquad ({\rm{P}}) $ in the case of general nonlinearities $ F \in C^1(\mathbb{R}) $ of Berestycki-Lions type, when $ N \ge...

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Bibliographic Details
Main Authors: Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
Format: Article
Language:English
Published: AIMS Press 2022-12-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2022056?viewType=HTML