Description

• Title:
  Fourth-order elliptic problems involving concave-superlinear nonlinearities
• Creator:
  Cavalcante, Thiago R.;
  Silva, Edcarlos D.
• Description:
  The existence of solutions for a huge class of superlinear elliptic problems involving fourth-order elliptic problems defined on bounded domains under Navier boundary conditions is established. To this end we do not apply the well-known Ambrosetti-Rabinowitz condition. Instead, we assume that the nonlinear term is nonquadratic at infinity. Furthermore, the nonlinear term is a concave-superlinear function which can be indefinite in sign. In order to apply variational methods we employ some delicate arguments recovering some kind of compactness.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2022 Thiago R. Cavalcante, Edcarlos D. Silva
• Date:
  2022.12.11
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 60, No 2 (December 2022); 581 - 600;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/41351/34074 ;https://apcz.umk.pl/TMNA/article/view/41351/34075
• Subject:
  Fourth-order elliptic problems;
  variational methods;
  concave-superlinear elliptic problems;
  nonquadraticity condition;
  35J20, 35J25, 35J50
• Identifier: https://apcz.umk.pl/TMNA/article/view/41351
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other