Description

• Title:
  Schrödinger-Poisson systems with radial potentials and discontinuous quasilinear nonlinearity
• Creator:
  Mao, Anmin;
  Chang, Hejie
• Description:
  We consider the following Schrödinger-Poisson system: $$ \begin{cases} -\triangle u+V(|x|)u+\phi u= Q(|x|) f(u) &\hbox{in } \mathbb{R}^3,\\ -\triangle \phi=u^{2} & \hbox{in } \mathbb{R}^3, \end{cases} $$ \noindent with more general radial potentials $V,Q$ and discontinuous nonlinearity $f$. The Lagrange functional may be locally {\it Lipschitz}. Using nonsmooth critical point theorem, we obtain the multiplicity results of radial solutions, we also show concentration properties of the solutions. This is in contrast with some recent papers concerning similar problems by using the classical Sobolev embedding theorems.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.10.09
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 51, No 1 (March 2018); 79 - 89;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.040/13135 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.040/13136
• Temat i słowa kluczowe:
  Schrödinger-Poisson equation;
  radial potentials;
  weighted Sobolev embedding;
  35J50;
  35J60
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.040
• Dostawca danych:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other