Description

• Title:
  Properties of unique positive solution for a class of nonlocal semilinear elliptic equation
• Creator:
  Jiang, Ruiting;
  Zhai, Chengbo
• Description:
  We study a class of nonlocal elliptic equations $$ -M\bigg(\int_{\Omega}|u|^{\gamma}dx\bigg)\Delta u=\lambda f(x,u) $$ with the Dirichlet boundary conditions in bounded domain. Under suitable assumptions on $M$ and the nonlinear term $f$, the existence and new properties of a unique positive solutions are obtained via a monotone operator method and a mixed monotone operator method.
• 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 50, No 2 (December 2017); 669 - 682;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.036/13133 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.036/13134
• Subject:
  Nonlocal elliptic equation;
  positive solution;
  existence and uniqueness;
  monotone operator;
  mixed monotone operator;
  35J57;
  35J66;
  35D35;
  47H10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.036
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other