A guide to the Choquard equation

We survey old and recent results dealing with the existence and properties of solutions to the Choquard type equations - Δ u + V ( x ) u = | x | - ( N - α ) ∗ | u | p | u | p - 2 u in R N , and some of its variants and extensions.

Bibliographic Details

Published in:	Fixed point theory and algorithms for sciences and engineering Vol. 19; no. 1; pp. 773 - 813
Main Authors:	Moroz, Vitaly, Van Schaftingen, Jean
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.03.2017 Springer Nature B.V
Subjects:	Analysis Brownian motion Euclidean space Mathematical Methods in Physics Mathematics Mathematics and Statistics Pekar polaron focusing Hartree equation attractive nonlocal interaction Choquard equation Schrödinger–Newton equation 35Q55 (35R09, 35J91) Riesz potential
ISSN:	1661-7738, 1661-7746, 2730-5422
Online Access:	Get full text
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