Description

• Title:
  A strongly nonlinear Neumann problem at resonance with restrictions on the nonlinearity just in one direction
• Creator:
  Mawhin, Jean;
  Ruiz, David
• Description:
  Using topological degree techniques, we state and prove new sufficient conditions for the existence of a solution of the Neumann boundary value problem $$ (|x'|^{p-2} x')' +f(t, x)+ h(t, x) =0, \quad x'(0) = x'(1)=0, $$ when $h$ is bounded, $f$ satisfies a one-sided growth condition, $f + h$ some sign condition, and the solutions of some associated homogeneous problem are not oscillatory. A generalization of Lyapunov inequality is proved for a $p$-Laplacian equation. Similar results are given for the periodic problem.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2002.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 20, No 1 (September 2002); 1 - 14;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.021/9633
• Subject:
  Neuman problem;
  periodic solutions;
  p-Laplacian equation;
  topological degree;
  Lyapunov inequality;
  34B15;
  34C25;
  34C10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.021
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other