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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| Published in: | Нелинейные граничные задачи |
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| Date: | 2002 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2002
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/169222 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862751490077097984 |
|---|---|
| author | Kovalevsky, A.A. |
| author_facet | Kovalevsky, A.A. |
| 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. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| 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.
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| first_indexed | 2025-12-07T21:12:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169222 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-12-07T21:12:28Z |
| publishDate | 2002 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Entropy solutions of Dirichlet problem for a class of nonlinear elliptic high-order equations with L¹-data Kovalevsky, A.A. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169222 |
| work_keys_str_mv | AT kovalevskyaa entropysolutionsofdirichletproblemforaclassofnonlinearelliptichighorderequationswithl1data |