Description

• Title:
  Existence of positive solutions for a semilinear elliptic system
• Creator:
  Zhang, Zhitao;
  Cheng, Xiyou
• Description:
  In this paper, we are concerned with the existence of (component-wise) positive solutions for a semilinear elliptic system, where the nonlinear term is superlinear in one equation and sublinear in the other equation. By constructing a cone $K_1 \times K_2$ which is the Cartesian product of two cones in space $C(\overline{\Omega})$ and computing the fixed point index in $K_1 \times K_2$, we establish the existence of positive solutions for the system. It is remarkable that we deal with our problem on the Cartesian product of two cones, in which the features of two equations can be exploited better.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2011.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 37, No 1 (March 2011); 103 - 116;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.005/8395
• Subject:
  Positive solutions;
  elliptic system;
  fixed point index;
  35J25;
  35J55
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.005
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other