Description

• Title:
  Global multiplicity for parametric anisotropic Neumann (p,q)-equations
• Creator:
  Papageorgiou, Nikolaos S.;
  Rădulescu, Vicenţiu D.;
  Repovš, Dušan D.
• Description:
  We consider a Neumann boundary value problem driven by the anisotropic $(p,q)$-Laplacian plus a parametric potential term. The reaction is ``superlinear". We prove a global (with respect to the parameter) multiplicity result for positive solutions. Also, we show the existence of a minimal positive solution and finally, we produce a nodal solution.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2023 Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš;
  https://creativecommons.org/licenses/by-nd/4.0
• 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); 393 - 422;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/42809/34960 ;https://apcz.umk.pl/TMNA/article/view/42809/34961
• Subject:
  Anisotropic operator;
  superlinear reaction;
  positive and nodal solutions;
  critical groups;
  Primary: 35A16, 35J20;
  Secondary: 03H05, 35J70, 47J30, 58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/42809
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other