A Survey of Results on 1D Steklov Type Inequalities A. I. Nazarov ab ,
A. P. Shcheglova cb a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia b St. Petersburg State University, St. Petersburg, Russia c St. Petersburg Electrotechnical University “LETI”, St. Petersburg, Russia Abstract:
We give a survey of classical and recent results on symmetry
$/$ asymmetry of extremal functions and sharp constants in one-dimensional functional inequalities.
Keywords:
one-dimensional functional inequalities, symmetry, symmetry breaking, sharp constants. Received: May 12, 2025 Revised: June 2, 2025 Accepted: August 28, 2025
DOI:
10.4213/tm4492
© , 2026
Fulltext:
PDF file (480 kB)
First page:
PDF file