Description

• Title:
  A planar Schrödinger-Poisson system with vanishing potentials and exponential critical growth
• Creator:
  Albuquerque, Francisco S. B.;
  Carvalho, Jonison L.;
  Furtado, Marcelo F.;
  Medeiros, Everaldo S.
• Description:
  In this paper we look for ground state solutions of the elliptic system $$ \begin{cases} -\Delta u+V(x)u+\gamma\phi K(x)u = Q(x)f(u), &x\in\mathbb{R}^{2}, \\ \Delta \phi =K(x) u^{2}, &x\in\mathbb{R}^{2}, \end{cases} $$% where $\gamma> 0$ and the continuous potentials $V$, $K$, $Q$ satisfy some mild growth conditions and the nonlinearity $f$ has exponential critical growth. The key point of our approach is a new version of the Trudinger-Moser inequality for weighted Sobolev space.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2023 Francisco S. B. Albuquerque, Jonison L. Carvalho, Marcelo F. Furtado, Everaldo S. Medeiros;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2023.09.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 62, No 1 (September 2023); 159 - 180;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/46308/36553 ;https://apcz.umk.pl/TMNA/article/view/46308/36554
• Subject:
  Non-autonomous Schrödinger-Poisson system;
  unbounded potential;
  decaying potential;
  exponential critical growth;
  Trudinger-Moser inequality;
  35J15, 35J20, 35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/46308
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other