Description

• Title:
  Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations
• Creator:
  Villegas, Salvador;
  Cañada, Antonio
• Description:
  This paper is devoted to the study of $L_p$ Lyapunov-type inequalities for linear systems of equations with Neumann boundary conditions and for any constant $p \geq 1$. We consider ordinary and elliptic problems. The results obtained in the linear case are combined with Schauder fixed point theorem to provide new results about the existence and uniqueness of solutions for resonant nonlinear problems. The proof uses in a fundamental way the nontrivial relation between the best Lyapunov constants and the minimum value of some especial minimization problems.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 45, No 2 (June 2015); 309 - 326;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.016/5675
• Subject:
  Neumann boundary value problems;
  matrix Lyapunov inequalities;
  ordinary differential equations;
  elliptic partial differential equations;
  resonant problems;
  34B15;
  34B05;
  35J20;
  35J25;
  35J65
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.016
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other