A sharp lower bound for some neumann eigenvalues of the hermite operator

Barbara Brandolini, Barbara Brandolini, Chiacchio, Cristina Trombetti

Risultato della ricerca: Articlepeer review

7 Citazioni (Scopus)

Abstract

This paper deals with the Neumann eigenvalue problem for the Hermite operator defined in a convex, possibly unbounded, planar domain Omega, having one axis of symmetry passing through the origin. We prove a sharp lower bound for the first eigenvalue mu(odd)(1)(Omega) with an associated eigenfunction odd with respect to the axis of symmetry. Such an estimate involves the first eigenvalue of the corresponding one-dimensional problem.
Lingua originaleEnglish
pagine (da-a)639-654
Numero di pagine16
RivistaDifferential and Integral Equations
Volume26
Stato di pubblicazionePublished - 2013

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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