dc.contributor.author |
Kozhevnikova L.M. |
|
dc.date.accessioned |
2021-02-25T20:37:48Z |
|
dc.date.available |
2021-02-25T20:37:48Z |
|
dc.date.issued |
2020 |
|
dc.identifier.issn |
1066-369X |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/162096 |
|
dc.description.abstract |
© 2020, Allerton Press, Inc. We consider a class of anisotropic elliptic equations of second order with variable exponents of non-linearity where a special Radon measure is used as the right-hand side. We establish uniqueness of entropy and renormalized solutions of the Dirichlet problem in anisotropic Sobolev spaces with variable exponents of non-linearity for arbitrary domains and certain other their properties. In addition, we prove the equivalence of entropy and renormalized solutions of the problem under consideration. |
|
dc.relation.ispartofseries |
Russian Mathematics |
|
dc.subject |
anisotropic elliptic equation |
|
dc.subject |
Dirichlet problem |
|
dc.subject |
entropy solution |
|
dc.subject |
existence of solution |
|
dc.subject |
Radon measure data |
|
dc.subject |
renormalized solution |
|
dc.subject |
unbounded domain |
|
dc.subject |
uniqueness of solution |
|
dc.subject |
variable exponent |
|
dc.title |
Equivalence of Entropy and Renormalized Solutions of Anisotropic Elliptic Problem in Unbounded Domains with Measure Data |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
1 |
|
dc.relation.ispartofseries-volume |
64 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
25 |
|
dc.source.id |
SCOPUS1066369X-2020-64-1-SID85083063149 |
|