Description

• Title:
  Global bifurcation problems associated with $k$-Hessian operators
• Creator:
  Jacobsen, Jon
• Description:
  In this paper we study global bifurcation phenomena for a class of nonlinear elliptic equations governed by the $h$-Hessian operator. The bifurcation phenomena considered provide new methods for establishing existence results concerning fully nonlinear elliptic equations. Applications to the theory of critical exponents and the geometry of $k$-convex functions are considered. In addition, a related problem of Liouville-Gelfand type is analyzed.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  1999.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 14, No 1 (September 1999); 81 - 130;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.023/10026
• Subject:
  Global bifurcation;
  Monge-Ampère equations;
  $k$-Hessian equations;
  $k$-convex functions;
  Krein-Rutman;
  principal eigenvalue;
  critical exponents;
  Primary 35J65;
  Secondary 35P30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.023
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other