Description

• Title:
  Infinitely many solutions for a class of critical Choquard equation with zero mass
• Creator:
  Gao, Fashun;
  Yang, Minbo;
  Santos, Carlos Alberto;
  Zhou, Jiazheng
• Description:
  In this paper we investigate the following nonlinear Choquard equation $$ -\Delta u =\bigg(\int_{\mathbb{R}^N}\frac{G(y,u)}{|x-y|^{\mu}}dy\bigg)g(x,u)\quad \textrm{in}\ \mathbb{R}^N, $$ where $0< \mu< N$, $N\geq3$, $g(x,u)$ is of critical growth in the sense of the Hardy-Littlewood-Sobolev inequality and $G(x,u)=\int^u_0g(x,s)ds$. By applying minimax procedure and perturbation technique, we obtain the existence of infinitely many solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.07.13
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 1 (September 2019); 219 - 232;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.038/18007 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.038/18008
• Subject:
  Critical Choquard equation;
  Hardy-Littlewood-Sobolev inequality;
  infinitely many solutions;
  35J20;
  35J60;
  35A15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.038
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other