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 |
|