V.A. Steklov and the Problem of Sharp (Exact) Constants in Inequalities of Mathematical Physics

2013/07/30 by A. I. Nazarov, Nazarov, A. I., N. G. Kuznetsov +3
Mathematics · #35A23 #Analysis of PDEs (math.AP) #FOS: Mathematics #History and Overview (math.HO) #math.AP #math.HO #msc:35A23

paper · pdf · doi:10.48550/arxiv.1307.8025

13 pages

arxiv created 2013/07/30 · arxiv updated 2013/07/31

Abstract

The 150th anniversary of the birth of the outstanding Russian mathematician Vladimir Andreevich Steklov falls on January 9, 2014. In this paper (it is a part of survey to be published in January 2014), we describe advances in one of several areas influenced by Steklov's work.

Related

• Steklov-type 1D inequalities (a survey)
• Remark on the formula by Rakhmanov and Steklov's conjecture
• Some properties for the Steklov averages
• Sharp Steklov upper bound for submanifolds of revolution
• Vladimir Ivanovich Smirnov (1887-1974)