Description

• Title:
  Multiple positive solutions for a singularly perturbed Dirichlet problem in "geometrically trivial" domains
• Creator:
  Cerami, Giovanna;
  Maniscalco, Caterina
• Description:
  In this paper we consider the singularly perturbed Dirichlet problem (P$_{\varepsilon}$), when the potential $a_{\varepsilon}(x)$, as $\varepsilon$ goes to $0$, is concentrating round a point $x_0\in\Omega$. Under suitable growth assumptions on $f$, we prove that (P$_{\varepsilon}$) has at least three distinct solutions whatever $\Omega$ is and that at least one solution is not a one-peak solution.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2002.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 19, No 1 (March 2002); 63 - 76;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.004/9659
• Subject:
  Singularity perturbet elliptic problem;
  variational methods;
  critical point;
  Lusternik-Schnirelman theory;
  (LS)-category;
  35J65;
  35J20;
  35J25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.004
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other