Description

• Title:
  On a variant of the maximum principle involving radial $p$-Laplacian with applications to~nonlinear eigenvalue problems and nonexistence results
• Creator:
  Adamowicz, Tomasz;
  Kałamajska, Agnieszka
• Description:
  We obtain the variant of maximum principle for radial solutions of $p$-harmonic equation $-a\Delta_p(w)=\phi(w)$. As a consequence of this result we prove monotonicity of constant sign solutions, analyze the support of the solutions and study their oscillations. The results are applied to various type nonlinear eigenvalue problems and nonexistence theorems.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2009.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 34, No 1 (September 2009); 1 - 20;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.026/8610
• Subject:
  Primary;
  35B50;
  Secondary;
  33C45;
  35J15;
  34C11;
  Maximum principles;
  radial solutions;
  p-Laplace equation;
  singular PDE's;
  elliptic equations
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.026
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other