Sharp estimates for eigenfunctions of a Neumann problem

Barbara Brandolini, Barbara Brandolini, Chiacchio, Cristina Trombetti

Risultato della ricerca: Articlepeer review

17 Citazioni (Scopus)

Abstract

In this paper we provide some bounds for eigenfunctions of the Laplacian with homogeneous Neumann boundary conditions in a bounded domain Ω of Rn. To this aim we use the so-called symmetrization techniques and the obtained estimates are asymptotically sharp, at least in the bidimensional case, when the isoperimetric constant relative to Ω goes to 0.
Lingua originaleEnglish
pagine (da-a)1317-1337
Numero di pagine21
RivistaCommunications in Partial Differential Equations
Volume34
Stato di pubblicazionePublished - 2009

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cita questo