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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator
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by N. Filonov
Translated by: the author
St. Petersburg Math. J. 16 (2005), 413-416
DOI: https://doi.org/10.1090/S1061-0022-05-00857-5
Published electronically: March 9, 2005

Abstract:

A simple proof of the inequality $\mu _{k+1} < \lambda _k$ is given. Here the $\lambda _k$ (respectively, $\mu _k$) are the eigenvalues of the Dirichlet (respectively, Neumann) problem for the Laplace operator in an arbitrary domain of finite measure in $\mathbb {R}^d$, $d>1$.
References
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Bibliographic Information
  • N. Filonov
  • Affiliation: St. Petersburg State University, Physics Department, Ulyanovskaya Ul. 1, Petrodvorets, St. Petersburg 198504, Russia
  • MR Author ID: 609754
  • Email: filonov@mph.phys.spbu.ru
  • Received by editor(s): September 1, 2003
  • Published electronically: March 9, 2005
  • Additional Notes: Supported by RFBR (grant no. 02-01-00798).

  • Dedicated: Dedicated to my teacher Mikhail Shlemovich Birman
  • © Copyright 2005 American Mathematical Society
  • Journal: St. Petersburg Math. J. 16 (2005), 413-416
  • MSC (2000): Primary 35J05, 35P15
  • DOI: https://doi.org/10.1090/S1061-0022-05-00857-5
  • MathSciNet review: 2068346