11-16 December 2023
St. Petersburg University, MCS faculty
Europe/Moscow timezone

Avkhadiev--Wirths' conjecture for Hardy inequalities on balls

13 Dec 2023, 12:00
35m
MCS 201 (SPBU MCS)

MCS 201

SPBU MCS

Russia, 199178, St. Petersburg, 14 line V.O., 29B, https://math-cs.spbu.ru/en/ Room 201 ZOOM streaming at: https://us02web.zoom.us/j/675315555?pwd=aEVYbHZWL2F0aE9PUXVYUjB4a21ydz09

Speaker

Ramil Nasibullin (Kazan Federal university)

Description

The conjecture states that among all $n$-dimensional domains with given inradius $\delta_0$ the maximum of the best Brezis--Marcus constants $\lambda(\Omega)$ is given by $\lambda(B_n)$, where $B_n$ is the $n$-dimensional ball
of radius $\delta_0$. In the talk the known results in Hardy type inequalities with additional terms are presented and we will give review of our own results in this subject. We improve estimates of $\lambda(\Omega)$.

Primary author

Ramil Nasibullin (Kazan Federal university)

Presentation Materials

There are no materials yet.