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SHARP CONSTANTS IN THE POINCARÉ, STEKLOV AND RELATED INEQUALITIES (A SURVEY)

Published online by Cambridge University Press:  10 October 2014

Nikolay Kuznetsov
Affiliation:
Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, Russian Academy of Science, St. Petersburg, Russia email [email protected]
Alexander Nazarov
Affiliation:
Laboratory of Mathematical Physics, St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia Department of Mathematical Physics, Faculty of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia email [email protected]
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Abstract

During the past 55 years substantial progress concerning sharp constants in Poincaré-type and Steklov-type inequalities has been achieved. Original results of H. Poincaré, V. A. Steklov and his disciples are reviewed along with the main further developments in this area.

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Research Article
Copyright
Copyright © University College London 2014 

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