Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents

dc.contributor.author	Kozhevnikova L.
dc.date.accessioned	2020-01-15T21:45:34Z
dc.date.available	2020-01-15T21:45:34Z
dc.date.issued	2019
dc.identifier.issn	1064-5616
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/155691
dc.description.abstract	© 2019 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd. 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 L1. 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.
dc.relation.ispartofseries	Sbornik Mathematics
dc.subject	anisotropic elliptic equation
dc.subject	Dirichlet problem
dc.subject	entropy solution
dc.subject	existence of a solution
dc.subject	renormalized solution
dc.subject	variable exponent
dc.title	Entropy and renormalized solutions of anisotropic elliptic equations with variable nonlinearity exponents
dc.type	Article
dc.relation.ispartofseries-issue	3
dc.relation.ispartofseries-volume	210
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	417
dc.source.id	SCOPUS10645616-2019-210-3-SID85068351181

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Публикации сотрудников КФУ Scopus [24551]
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