КФУ. Карточка публикации. Avkhadiev?Wirths conjecture on best Brezis?Marcus constants

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AVKHADIEV?WIRTHS CONJECTURE ON BEST BREZIS?MARCUS CONSTANTS

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2025

Язык

английский

Авторы, сотрудники КФУ

Насибуллин Рамиль Гайсаевич, автор

Библиографическое описание на языке оригинала

Nasibullin R.G., Avkhadiev?Wirths conjecture on best Brezis?Marcus constants//Sbornik Mathematics. - 2025. - Vol.216, Is.4. - P.538-559.

Аннотация

We study Hardy-type inequalities with additional terms. The constant λ(Ω) multiplying the additional term depends on the geometry of the multidimensional domain Ω and the numerical parameters of the problem. This constant (functional) is commonly called the Brezis–Marcus constant. Avkhadiev and Wirths [1] put forward the conjecture that, over all n-dimensional domains with fixed inner radius δ0, the maximum best Brezis–Marcus constant is λ(Bn), where Bn is the n-ball of radius δ0. We improve the previously available lower estimates for λ(Bn) , for n = 2 and n=4,…,10, which takes us closer to this conjecture.

Ключевые слова

Hardy inequality, inner radius, distance function, Bessel function, additional term.

Название журнала

Sbornik Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-105011314350&doi=10.4213%2fsm10120e&partnerID=40&md5=2ad74bf26edbcf43f2f58616c4272395

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https://repository.kpfu.ru/?p_id=316212

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Насибуллин Рамиль Гайсаевич	ru_RU
dc.date.accessioned	2025-01-01T00:00:00Z	ru_RU
dc.date.available	2025-01-01T00:00:00Z	ru_RU
dc.date.issued	2025	ru_RU
dc.identifier.citation	Nasibullin R.G., Avkhadiev?Wirths conjecture on best Brezis?Marcus constants//Sbornik Mathematics. - 2025. - Vol.216, Is.4. - P.538-559.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=316212	ru_RU
dc.description.abstract	Sbornik Mathematics	ru_RU
dc.description.abstract	We study Hardy-type inequalities with additional terms. The constant λ(Ω) multiplying the additional term depends on the geometry of the multidimensional domain Ω and the numerical parameters of the problem. This constant (functional) is commonly called the Brezis–Marcus constant. Avkhadiev and Wirths [1] put forward the conjecture that, over all n-dimensional domains with fixed inner radius δ0, the maximum best Brezis–Marcus constant is λ(Bn), where Bn is the n-ball of radius δ0. We improve the previously available lower estimates for λ(Bn) , for n = 2 and n=4,…,10, which takes us closer to this conjecture.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hardy inequality	ru_RU
dc.subject	inner radius	ru_RU
dc.subject	distance function	ru_RU
dc.subject	Bessel function	ru_RU
dc.subject	additional term.	ru_RU
dc.title	Avkhadiev?Wirths conjecture on best Brezis?Marcus constants	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU