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.

Uloženo v:
Podrobná bibliografie
Vydáno v:Fixed point theory and algorithms for sciences and engineering Ročník 19; číslo 1; s. 773 - 813
Hlavní autoři: Moroz, Vitaly, Van Schaftingen, Jean
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.03.2017
Springer Nature B.V
Témata:
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 přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract 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.
AbstractList 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.
We survey old and recent results dealing with the existence and properties of solutions to the Choquard type equations -Δu+V(x)u=|x|-(N-α)∗|u|p|u|p-2uinRN,and some of its variants and extensions.
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.
Author Van Schaftingen, Jean
Moroz, Vitaly
Author_xml – sequence: 1
  givenname: Vitaly
  surname: Moroz
  fullname: Moroz, Vitaly
  organization: Department of Mathematics, Swansea University
– sequence: 2
  givenname: Jean
  surname: Van Schaftingen
  fullname: Van Schaftingen, Jean
  email: Jean.VanSchaftingen@uclouvain.be
  organization: Institut de Recherche en Mathématique et Physique, Université catholique de Louvain
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Issue 1
Keywords Pekar polaron
focusing Hartree equation
attractive nonlocal interaction
Choquard equation
Schrödinger–Newton equation
35Q55 (35R09, 35J91)
Riesz potential
Language English
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PublicationTitle Fixed point theory and algorithms for sciences and engineering
PublicationTitleAbbrev J. Fixed Point Theory Appl
PublicationYear 2017
Publisher Springer International Publishing
Springer Nature B.V
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Snippet 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 ) ∗...
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 ) ∗...
We survey old and recent results dealing with the existence and properties of solutions to the Choquard type equations -Δu+V(x)u=|x|-(N-α)∗|u|p|u|p-2uinRN,and...
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SubjectTerms Analysis
Brownian motion
Euclidean space
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
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