Description

• Title:
  Monotonicity of eigenvalues of the fractional $p$-Laplacian with singular weights
• Creator:
  Iannizzotto, Antonio
• Description:
  We study a nonlinear, nonlocal eigenvalue problem driven by the fractional $p$-Laplacian with an indefinite, singular weight chosen in an optimal class. We prove the existence of an unbounded sequence of positive variational eigenvalues and alternative characterizations of the first and second eigenvalues. Then, by means of such characterizations, we prove strict decreasing monotonicity of such eigenvalues with respect to the weight function.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Antonio Iannizzotto
• Date:
  2023.02.26
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 61, No 1 (March 2023); 423 - 443;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/42814/34970 ;https://apcz.umk.pl/TMNA/article/view/42814/34971
• Subject:
  Fractional $p$-Laplacian;
  eigenvalue problems;
  singular weights;
  35P30, 35R11
• Identifier: https://apcz.umk.pl/TMNA/article/view/42814
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other