Description

• Title:
  Nodal solutions to superlinear biharmonic equations via decomposition in dual cones
• Creator:
  Weth, Tobias
• Description:
  We present an abstract approach to locate multiple solutions of some superlinear variational problems in a Hilbert space $H$. The approach has many points in common with existing methods, but we add a new tool by using a decomposition technique related to dual cones in $H$ which goes back to Moreau. As an application we deduce new existence results for sign changing solutions for some superlinear biharmonic boundary value problems.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2006.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 28, No 1 (September 2006); 33 - 52;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.018/8871
• Subject:
  Flow invariant sets;
  multliple critical points;
  dual cone;
  sign changing solutions;
  biharmonic equations;
  58E05;
  35J40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.018
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other