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.

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Vydané v:	Fixed point theory and algorithms for sciences and engineering Ročník 19; číslo 1; s. 773 - 813
Hlavní autori:	Moroz, Vitaly, Van Schaftingen, Jean
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 01.03.2017 Springer Nature B.V
Predmet:	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
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