Description

• Title:
  Multiplicity of solutions for polyharmonic Dirichlet problems with exponential nonlinearities and broken symmetry
• Creator:
  Sterjo, Edger
• Description:
  We prove the existence of infinitely many solutions to a class of non-symmetric Dirichlet problems with exponential nonlinearities. Here the domain $\Omega \Subset \mathbb{R}^{2l}$ where $2l$ is also the order of the equation. Considered are the problem with no symmetry requirements, the radial problem on an annulus, and the radial problem on a ball with a Hardy potential term of critical Hardy exponent. These generalize results obtained by Sugimura \cite{Sugimura94}.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.06.25
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 50, No 1 (September 2017); 27 - 63;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.018/12300 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.018/12301
• Subject:
  Polyharmonic Dirichlet problems;
  perturbation from symmetry;
  critical point theory;
  variational methods;
  35J35
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.018
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other