Description

• Title:
  An eigenvalue problem for a quasilinear elliptic field equation on $\mathbb R^n$
• Creator:
  Benci, Vieri;
  Micheletti, Anna Maria;
  Visetti, Daniela
• Description:
  We study the field equation $$-\Delta u+V(x)u+\varepsilon^r(-\Delta_pu+W'(u))=\mu u$$ on $\mathbb R^n$, with $\varepsilon$ positive parameter. The function $W$ is singular in a point and so the configurations are characterized by a topological invariant: the topological charge. By a min-max method, for $\varepsilon$ sufficiently small, there exists a finite number of solutions $(\mu(\varepsilon),u(\varepsilon))$ of the eigenvalue problem for any given charge $q\in{\mathbb Z}\setminus\{0\}$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2001.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 17, No 2 (June 2001); 191 - 211;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.013/9944
• Subject:
  Nonlinear systems;
  nonlinear Schrödinger equations;
  nonlinear eigenvalue problems;
  34A34;
  35Q55;
  47S10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.013
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other