Description

• Title:
  Multiple solutions for Schrödinger-Poisson systems with critical nonlocal term
• Creator:
  Guo, Zuji
• Description:
  This paper is concerned with the existence of positive bound state solutions for Schrödinger-Poisson systems with critical nonlocal term: \begin{equation*} \begin{cases} -\Delta u=\phi|u|^{3}u+\lambda Q(x)|u|^{q-2}u &\text{in } \mathbb{R}^3, \\ -\Delta \phi=|u|^5 & \text{in } \mathbb{R}^3. \end{cases} \leqno(\mathcal{P}) \end{equation*} Under certain assumptions on $Q$ and $\lambda$, we prove that $(\mathcal{P})$ has multiple positive bound state solutions by decomposition the Nehari manifold and fine estimates.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.11.14
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 2 (December 2019); 495 - 513;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.077/23686 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.077/23687
• Subject:
  Critical nonlocal term;
  ground state solution;
  Nehari manifold;
  Schrödinger-Poisson systems;
  Primary;
  35J20;
  35J65;
  Secondary;
  35A15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.077
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other