Description

• Title:
  A global bifurcation result for quasilinear elliptic equations in Orlicz-Sobolev spaces
• Creator:
  Le, Vy Khoi
• Description:
  The paper is concerned with a global bifurcation result for the equation $$ -\text{div} (A(|\nabla u|) \nabla u) = g(x,u,\lambda) $$ in a general domain $\Omega$ with non necessarily radial solutions. Using a variational inequality formulation together with calculations of the Leray-Schauder degrees for mappings in Orlicz-Sobolev spaces, we show a global behavior (the Rabinowitz alternative) of the bifurcating branches.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2000.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 15, No 2 (June 2000); 301 - 327;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.022/9989
• Subject:
  Global bifurcation;
  variational inequality;
  Orlicz-Sobolev space;
  Leray-Schauder degree;
  35J60;
  36J85;
  58E35;
  58J55;
  46E30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2000.022
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other