Description

• Title:
  Fractional Schrödinger-Poisson system with singularity and critical growth
• Creator:
  de Assis, Heitor R.;
  Faria, Luiz F.O.;
  Motreanu, Dumitru;
  Pereira, Fábio R.
• Description:
  In this paper, we establish the existence and the uniqueness of a positive solution for a Schrödinger-Poisson system driven by the fractional Laplacian operator on a bounded domain in $\mathbb{R}^N$. The system exhibits nonlinearity involving a singularity term and critical growth. Our approach relies on a specialized minimization technique to rigorously demonstrate the desired results.
• Object availability:
  free access
• Date:
  2025.06.14
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Online First Articles; 1 - 12;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/62301/42803 ;https://apcz.umk.pl/TMNA/article/view/62301/42804
• Subject:
  Schrödinger-Poisson system;
  fractional Laplacian;
  singularity;
  critical growth;
  Primary: 35J62;
  Secondary: 35B09, 35B20, 35B33, 46E35
• Identifier: https://apcz.umk.pl/TMNA/article/view/62301
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other