Description

• Title:
  Critical point approaches to quasilinear second order differential equations depending on a parameter
• Creator:
  Heidarkhani, Shapour;
  Henderson, Johnny
• Description:
  In this paper, we make application of some three-critical points results to establish the existence of at least three solutions for a boundary value problem for the quasilinear second order differential equation on a compact interval $[a,b]\subset\mathbb{R}$, $$ \cases -u''=(\lambda f(x,u)+g(x,u))h(x,u') &\text{\rm in } (a,b),\\ u(a)=u(b)=0, \endcases $$ under appropriate hypotheses. We exhibit the existence of at least three (weak) solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 44, No 1 (September 2014); 177 - 197;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.042/8156
• Subject:
  Dirichlet problem;
  critical point;
  three solutions;
  variational methods;
  34B15;
  47J10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.042
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other