Description

• Title:
  Finding critical points whose polarization is also a critical point
• Creator:
  Squassina, Marco;
  Van Schaftingen, Jean
• Description:
  We show that near any given minimizing sequence of paths for the mountain pass lemma, there exists a critical point whose polarization is also a critical point. This is motivated by the fact that if any polarization of a critical point is also a critical point and the Euler-Lagrange equation is a second-order semi-linear elliptic problem, T. Bartsch, T. Weth and M. Willem (J. Anal. Math., 2005) have proved that the critical point is axially symmetric.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2012.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 40, No 2 (December 2012); 371 - 379;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.037/8385
• Subject:
  Symmetry of solutions of semi-linear elliptic PDEs;
  mountain pass lemma;
  general minimax principle;
  symmetrization;
  polarization;
  non-smooth critical point theory;
  Primary 49J35;
  Secondary 35B07;
  35J20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.037
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other