Description

• Title:
  Asymptotic bifurcation problems for quasilinear equations existence and multiplicity results
• Creator:
  Drábek, Pavel
• Description:
  In this paper we address the existence and multiplicity results for $$ \cases -\Delta_p u -\lambda |u|^{p-2} u = h (x,u) &\text{in }\Omega, \\ u = 0 &\text{on } \partial \Omega, \endcases $$ where $p> 1$, $\Delta_p u = \text{\rm div}(|\nabla u|^{p-2}\nabla u)$, $h$ is a bounded function and the spectral parameter $\lambda$ stays ``near'' the principal eigenvalue of the $p$-Laplacian. We show how the bifurcation theory combined with certain asymptotic estimates yield desired results.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2005.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 25, No 1 (March 2005); 183 - 194;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.009/9261
• Subject:
  p-Laplacian;
  Fredholm alternative;
  bifurcation;
  asymptotic estimates;
  Primary 35P30;
  47J10;
  Secondary 35J20;
  49J35
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2005.009
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other