Description

• Title:
  A generic property for the eigenfunctions of the Laplacian
• Creator:
  Pereira, Antônio Luiz;
  Pereira, Marcone Corrêa
• Description:
  In this work we show that, generically in the set of $\mathcal{C}^2$ bounded regions of $\mathbb R^n$, $n \geq 2$, the inequality $ \int_{\Omega} \phi^3 \neq 0$ holds for any eigenfunction of the Laplacian with either Dirichlet or Neumann boundary conditions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2002.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 20, No 2 (December 2002); 283 - 313;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.038/9628
• Subject:
  Generic properties;
  boundary value problem;
  eigenfunction;
  Primary 35J25;
  Secondary 35B30;
  58C40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.038
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other