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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| Дата: | 2002 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2002
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| Назва видання: | Нелинейные граничные задачи |
| Онлайн доступ: | http://dspace.nbuv.gov.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 |
irk-123456789-169222 |
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dspace |
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irk-123456789-1692222020-06-09T01:26:18Z Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data Kovalevsky, A.A. 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. 2002 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/169222 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kovalevsky, A.A. |
| spellingShingle |
Kovalevsky, A.A. Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data Нелинейные граничные задачи |
| author_facet |
Kovalevsky, A.A. |
| author_sort |
Kovalevsky, A.A. |
| title |
Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2002 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Нелинейные граничные задачи |
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AT kovalevskyaa entropysolutionsofdirichletproblemforaclassofnonlinearelliptichighorderequationswithl1data |
| first_indexed |
2023-10-18T22:24:42Z |
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2023-10-18T22:24:42Z |
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1796155446493446144 |