Description

• Title:
  A fourth-order equation with critical growth: the effect of the domain topology
• Creator:
  Melo, Jessyca Lange Fereira;
  dos Santos, Ederson Moreira
• Description:
  In this paper we prove the existence of multiple classical solutions for the fourth-order problemwhere $\Omega$ is a smooth bounded domain in $\rn$, $N\geq8$, $2_*=2N/(N-4)$ and $\mu_1(\Omega)$ is the first eigenvalue of $\Delta^2$ in $H^2(\Omega)\cap H_{0}^{1}(\Omega)$. We prove that there exists $0<\overline{\mu}<\mu_1(\Omega)$ such that, for each $0<\mu<\overline{\mu}$, the problem has at least $\cat_{\Omega}(\Omega)$ solutions.
• 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); 551 - 574;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.026/7458
• Subject:
  Biharmonic equation;
  Critical exponent;
  Lusternik-Schnirelman category;
  Positive solutions.;
  Primary 35J30;
  Secondary 35B33;
  58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.026
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other