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.

Uložené v:

Podrobná bibliografia
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
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Popis
Shrnutí:	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.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1661-7738 1661-7746 2730-5422
DOI:	10.1007/s11784-016-0373-1