# On fractional Schrodinger equations with Hartree type nonlinearitiesy

Silvia Cingolani*, Marco Gallo, Kazunaga Tanaka

*この研究の対応する著者

## 抄録

Goal of this paper is to study the following doubly nonlocal equation (equation presented) in the case of general nonlinearities F 2 C1(R) of Berestycki-Lions type, when N ≥ 2 and μ > 0 is fixed. Here (-Δ)s, s ∈(0; 1), denotes the fractional Laplacian, while the Hartree-type term is given by convolution with the Riesz potential Iα, α 2 (0; N). We prove existence of ground states of (P). Furthermore we obtain regularity and asymptotic decay of general solutions, extending some results contained in [23, 61].

本文言語 English 1-33 33 Mathematics In Engineering 4 6 https://doi.org/10.3934/mine.2022056 Published - 2022

• 応用数学
• 数理物理学
• 分析

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