Description

• Title:
  Ground state solutions for a class of nonlinear Maxwell-Dirac system
• Creator:
  Zhang, Jian;
  Tang, Xianhua;
  Zhang, Wen
• Description:
  This paper is concerned with the following nonlinear Maxwell-Dirac system\begin{equation*}\begin{cases}\displaystyle-i\sum^{3}_{k=1}\alpha_{k}\partial_{k}u + a\beta u + \omega u-\phi u =F_{u}(x,u),\\-\Delta \phi=4\pi|u|^{2,\\\end{cases} \end{equation*}for $x\in\R^{3}$. The Dirac operator is unbounded from below and above, so the associated energy functional is strongly indefinite. We use the linking and concentration compactness arguments to establish the existence of ground state solutionsfor this system with asymptotically quadratic nonlinearity.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 2 (December 2015); 785 - 798;
  1230-3429
• Format:
  application/pdf
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.068/7265 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.068/7302
• Subject:
  Maxwell-Dirac system;
  Ground state solutions;
  Asymptotically quadratic;
  Strongly indefinite functionals;
  49J35;
  35Q40;
  81V10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.068
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other