Description

• Title:
  Multiplicity of solutions for nonhomogeneuous nonlinear elliptic equations with critical exponents
• Creator:
  Hirano, Norimichi
• Description:
  Let $N \geq 3$ and $\Omega \subset \mathbb R^{N} $ be a bounded domain with a smooth boundary $\partial \Omega $. We %In this paper we consider a semilinear boundary value problem of the form %existence and multiplicity of solutions of problem $$ \cases -\Delta u = \vert u\vert ^{2^*-2} u +f &\text{\rm in } \Omega,\\ u> 0 & \text{\rm in } \Omega, \\ u= 0 & \text{\rm on } \partial \Omega, \endcases \leqno \text{\rm (P)} $$ where $f \in C(\overline \Omega )$ and $2^* = 2N/(N-2)$. We show the effect of topology of $\Omega $ on the multiple existence of solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2001.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 18, No 2 (December 2001); 269 - 281;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.034/9925
• Subject:
  Critical Sobolev;
  Dirichlet boundary value problem;
  semilinear elliptic problem;
  35J65
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2001.034
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other