Description

• Title:
  On the topological dimension of the solution set of a class of nonlocal elliptic problems
• Creator:
  Faraci, Francesca;
  Iannizzotto, Antonio
• Description:
  We study a Dirichlet problem for an elliptic equation of resonant type involving a general nonlocal term. Using a result of Ricceri, we prove that the solution set for such equation has a positive topological dimension, and contains a nondegenerate connected component. In particular, the solution set has the cardinality of the continuum.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2013.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 42, No 1 (September 2013); 1 - 8;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.022/8326
• Subject:
  Nonlocal boundary value problems;
  dimension theory;
  34B10;
  54F45
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2013.022
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other