Description

• Title:
  Multiple solutions for asymptotically linear resonant elliptic problems
• Creator:
  de Paiva, Francisco Odair
• Description:
  In this paper we establish the existence of multiple solutions for the semilinear elliptic problem $$\alignedat 2 -\Delta u&=g(x,u) &\quad&\text{in } \Omega, \\ u&=0 &\quad&\text{on } \partial\Omega, \endalignedat \tag 1.1 $$ where $\Omega \subset {\mathbb R}^N$ is a bounded domain with smooth boundary $\partial \Omega$, a function $g\colon\Omega\times{\mathbb R}\to {\mathbb R}$ is of class $C^1$ such that $g(x,0)=0$ and which is asymptotically linear at infinity. We considered both cases, resonant and nonresonant. We use critical groups to distinguish the critical points.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2003.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 21, No 2 (June 2003); 227 - 247;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.014/9601
• Subject:
  Cerami condition;
  multiplicity of solutions;
  double resonance;
  sign changing solution;
  35J65;
  35B38
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2003.014
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other