КФУ. Карточка публикации. Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents

КАЗАНСКИЙ
ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ

RUS

- EN
- 中文
- ES

ENTROPY AND RENORMALIZED SOLUTIONS OF ANISOTROPIC ELLIPTIC EQUATIONS WITH VARIABLE NONLINEARITY EXPONENTS

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2019

Язык

английский

Авторы, сотрудники КФУ

Кожевникова Лариса Михайловна, автор

Библиографическое описание на языке оригинала

Kozhevnikova L. M., Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents//SBORNIK MATHEMATICS. - 2019. - Vol.210, Is.3. - P.417-446.

Аннотация

The Dirichlet problem is considered in arbitrary domains for a class of second-order anisotropic elliptic equations with variable nonlinearity exponents and right-hand sides in $L_1$. It is proved that an entropy solution exists in anisotropic Sobolev spaces with variable exponent. It is proved that the entropy solution obtained is a renormalized solution of the problem under consideration.

Ключевые слова

anisotropic elliptic equation, entropy solution, renormalized solution, existence of a solution, variable exponent, Dirichlet problem.

Название журнала

Sbornik Mathematics

Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку

https://repository.kpfu.ru/?p_id=203126

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Кожевникова Лариса Михайловна	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Kozhevnikova L. M., Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents//SBORNIK MATHEMATICS. - 2019. - Vol.210, Is.3. - P.417-446.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=203126	ru_RU
dc.description.abstract	Sbornik Mathematics	ru_RU
dc.description.abstract	The Dirichlet problem is considered in arbitrary domains for a class of second-order anisotropic elliptic equations with variable nonlinearity exponents and right-hand sides in $L_1$. It is proved that an entropy solution exists in anisotropic Sobolev spaces with variable exponent. It is proved that the entropy solution obtained is a renormalized solution of the problem under consideration.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	anisotropic elliptic equation	ru_RU
dc.subject	entropy solution	ru_RU
dc.subject	renormalized solution	ru_RU
dc.subject	existence of a solution	ru_RU
dc.subject	variable exponent	ru_RU
dc.subject	Dirichlet problem.	ru_RU
dc.title	Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU