Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data
In this paper we study Dirichlet problem for nonlinear elliptic high-order equations with coefficients satisfying a strengthened ellipticity condition. A class of nonlinear high-order equations with such a condition on coefficients and data which are within usual theory of monotone operators [7] has...
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| Опубліковано в: : | Нелинейные граничные задачи |
|---|---|
| Дата: | 2002 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2002
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/169222 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data / A.A. Kovalevsky // Нелинейные граничные задачи. — 2002. — Т. 12. — С. 119-127. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-169222 |
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Kovalevsky, A.A. 2020-06-08T16:08:49Z 2020-06-08T16:08:49Z 2002 Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data / A.A. Kovalevsky // Нелинейные граничные задачи. — 2002. — Т. 12. — С. 119-127. — Бібліогр.: 9 назв. — англ. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169222 In this paper we study Dirichlet problem for nonlinear elliptic high-order equations with coefficients satisfying a strengthened ellipticity condition. A class of nonlinear high-order equations with such a condition on coefficients and data which are within usual theory of monotone operators [7] has been introduced in [9], where Holder continuity of generalized solutions of equations of that class has been established. Unlike [9] equations under consideration in the present paper have L¹-right-hand sides. Their solvability does not follow directly from results of the theory of monotone operators and on the whole it is a rather difficult problem. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data |
| spellingShingle |
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data Kovalevsky, A.A. |
| title_short |
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data |
| title_full |
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data |
| title_fullStr |
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data |
| title_full_unstemmed |
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data |
| title_sort |
entropy solutions of dirichlet problem for a class of nonlinear elliptic high-order equations with l¹-data |
| author |
Kovalevsky, A.A. |
| author_facet |
Kovalevsky, A.A. |
| publishDate |
2002 |
| language |
English |
| container_title |
Нелинейные граничные задачи |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
In this paper we study Dirichlet problem for nonlinear elliptic high-order equations with coefficients satisfying a strengthened ellipticity condition. A class of nonlinear high-order equations with such a condition on coefficients and data which are within usual theory of monotone operators [7] has been introduced in [9], where Holder continuity of generalized solutions of equations of that class has been established. Unlike [9] equations under consideration in the present paper have L¹-right-hand sides. Their solvability does not follow directly from results of the theory of monotone operators and on the whole it is a rather difficult problem.
|
| issn |
0236-0497 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/169222 |
| citation_txt |
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data / A.A. Kovalevsky // Нелинейные граничные задачи. — 2002. — Т. 12. — С. 119-127. — Бібліогр.: 9 назв. — англ. |
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AT kovalevskyaa entropysolutionsofdirichletproblemforaclassofnonlinearelliptichighorderequationswithl1data |
| first_indexed |
2025-12-07T21:12:28Z |
| last_indexed |
2025-12-07T21:12:28Z |
| _version_ |
1850885483507220480 |