Description

• Title:
  A note on additional properties of sign changing solutions to superlinear elliptic equations
• Creator:
  Bartsch, Thomas;
  Weth, Tobias
• Description:
  We obtain upper bounds for the number of nodal domains of sign changing solutions of semilinear elliptic Dirichlet problems using suitable min-max descriptions. These are consequences of a generalization of Courant's nodal domain theorem. The solutions need not to be isolated. We also obtain information on the Morse index of solutions and the location of sub- and supersolutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2003.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 22, No 1 (September 2003); 1 - 14;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.025/9587
• Subject:
  Sign changing solutions;
  nodal domains;
  Morse index;
  subsolution;
  supersolution;
  35J20;
  35J25;
  58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.025
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other