Description

• Title:
  Positive solutions of a Neumann problem with competing critical nonlinearities
• Creator:
  Chabrowski, Jan;
  Filippas, Stathis;
  Tertikas, Achilles
• Description:
  We present existence results for a Neumann problem involving critical Sobolev nonlinearities both on the right hand side of the equation and at the boundary condition. Positive solutions are obtained through constrained minimization on the Nehari manifold. Our approach is based on the concentration compactness principle of P. L. Lions and M. Struwe.
• 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); 1 - 31;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.017/8870
• Subject:
  Neumann problem;
  Sobolev critical exponents;
  constrained minimization;
  concentration phenomena;
  Nehari manifold;
  least energy solutions;
  35J20;
  35J25;
  35J60;
  35B33
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.017
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other