Description

• Title:
  Existence of entire solutions for semilinear elliptic problems on ${\mathbb R}^{N}$
• Creator:
  Hirano, Norimichi
• Description:
  In this paper, we consider the existence of positive and negative entire solutions of semilinear elliptic problem $$ -\Delta u + u = g(x,u), \quad u \in H^{1}({\mathbb R}^{N})\tag{P} $$ where $N \geq 2$ and $g:{\mathbb R}^{N} \times {\mathbb R }\to {\mathbb R}$ is a continuous function with superlinear growth and $g(x,0) = 0$ on ${\mathbb R}^{N} $.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  1999.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 13, No 1 (March 1999); 1 - 15;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.001/10043
• Subject:
  Nonlinear elliptic problem;
  positive solution;
  entire solution;
  35J20;
  35J25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.1999.001
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other