Description

• Title:
  Topological structure of the solution set of singular equations with sign changing terms under Dirichlet boundary condition
• Creator:
  Gonçalves, José Valdo;
  Marcial, Marcos R.;
  Miyagaki, Olimpio H.
• Description:
  In this paper we establish existence of connected components of positive solutions of the equation $ -\Delta_{p} u = \lambda f(u)$ in~$\Omega$, under Dirichlet boundary conditions, where $\Omega \subset \R^N$ is a~bounded domain with smooth boundary $\partial\Omega$, $\Delta_{p}$ is the $p$-Laplacian, and $f \colon (0,\infty) \rightarrow {\R} $ is a continuous function which may blow up to $\pm \infty$ at the origin.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 47, No 1 (March 2016); 73 - 89;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.091/7907 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.091/7483
• Subject:
  Connected sets;
  fixed points;
  Schauder theory;
  elliptic equations;
  35J25;
  35J55;
  35J70
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.091
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other