Detail publikačního výsledku

Normalized solutions for the upper critical Choquard equation with nonlocal perturbation

CHEN, S.; JIN, P.; RADULESCU, V.; ZHOU, X.

Originální název

Normalized solutions for the upper critical Choquard equation with nonlocal perturbation

Anglický název

Normalized solutions for the upper critical Choquard equation with nonlocal perturbation

Druh

Článek WoS

Originální abstrakt

This paper investigates the qualitative properties of normalized solutions to the upper critical Choquard equation with nonlocal perturbation: { -Delta u + lambda u = (I-alpha & lowast; |u| (N+alpha) / (N-2) |u| (N+alpha) / (N-2) (-2)u+& micro;(I-beta & lowast; |u|(p))|u|(p-2)u, x is an element of R-N , integral (N)(R) u(2)dx = c, where N >= 3, alpha, beta is an element of (0, N), p is an element of ,( (N+beta /)(N) (N+beta /)(N-2) , & micro; is an element of R, c > 0, lambda is an element of R is an unknown Lagrange multiplier, and I-alpha,I-beta denote the Riesz potentials. For & micro; > 0, we establish the existence of normalized solutions in several regimes, that is, when (N+beta)(/N) < p

Anglický abstrakt

This paper investigates the qualitative properties of normalized solutions to the upper critical Choquard equation with nonlocal perturbation: { -Delta u + lambda u = (I-alpha & lowast; |u| (N+alpha) / (N-2) |u| (N+alpha) / (N-2) (-2)u+& micro;(I-beta & lowast; |u|(p))|u|(p-2)u, x is an element of R-N , integral (N)(R) u(2)dx = c, where N >= 3, alpha, beta is an element of (0, N), p is an element of ,( (N+beta /)(N) (N+beta /)(N-2) , & micro; is an element of R, c > 0, lambda is an element of R is an unknown Lagrange multiplier, and I-alpha,I-beta denote the Riesz potentials. For & micro; > 0, we establish the existence of normalized solutions in several regimes, that is, when (N+beta)(/N) < p

Klíčová slova

sUALITATIVE PROPERTIES; GROUND-STATES; EXISTENCE

Klíčová slova v angličtině

sUALITATIVE PROPERTIES; GROUND-STATES; EXISTENCE

Autoři

CHEN, S.; JIN, P.; RADULESCU, V.; ZHOU, X.

Vydáno

03.04.2026

Periodikum

Mathematische Annalen

Svazek

395

Číslo

1

Stát

Spolková republika Německo

Strany počet

52

URL

https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001732898300001

BibTex

@article{BUT201863,
  author="Sitong {Chen} and  {} and Vicentiu {Radulescu} and  {}",
  title="Normalized solutions for the upper critical Choquard equation with nonlocal perturbation",
  journal="Mathematische Annalen",
  year="2026",
  volume="395",
  number="1",
  pages="52",
  doi="10.1007/s00208-026-03386-9",
  issn="0025-5831",
  url="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:001732898300001"
}