Description

• Title:
  On solutions of semilinear elliptic equation with linear growth nonlinearity in $\mathbb{R}^{N}$
• Creator:
  Hu, Jianhua;
  Cheng, Rong
• Description:
  We study nontrivial solutions for a class of semilinear elliptic equation which could be resonant at infinity. We establish the existence of solutions for the equation by considering the modified non-resonant problem associated with the original equation through Morse theory. Moreover, only linear growth assumption is imposed on the nonlinearity and condition on the potential is weaker than the coercive assumption.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 1 (September 2015); 45 - 56;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.036/7199
• Subject:
  Critical points;
  semilinear elliptic equation;
  Morsetheory;
  35J50;
  37J45
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.036
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other