Premium
SHARP CONSTANTS IN THE POINCARÉ, STEKLOV AND RELATED INEQUALITIES (A SURVEY)
Author(s) -
Kuznetsov Nikolay,
Nazarov Alexander
Publication year - 2015
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579314000229
Subject(s) - mathematics , inequality , poincaré conjecture , type (biology) , pure mathematics , constant (computer programming) , mathematical analysis , calculus (dental) , geology , orthodontics , paleontology , medicine , computer science , programming language
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.