Improved integrability and boundedness of solutions to some high-order variational problems
We give a series of results on the improved integrability and boundedness of solutions to several high-order variational problems with strengthened coercivity. In particular, we consider the homogeneous Dirichlet problem on the minimum of integral functionals and study variational inequalities with...
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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2018 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2018
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/169391 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Improved integrability and boundedness of solutions to some high-order variational problems / M.V. Voitovych // Український математичний вісник. — 2018. — Т. 15, № 1. — С. 103-131. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862749879891132416 |
|---|---|
| author | Voitovych, M.V. |
| author_facet | Voitovych, M.V. |
| citation_txt | Improved integrability and boundedness of solutions to some high-order variational problems / M.V. Voitovych // Український математичний вісник. — 2018. — Т. 15, № 1. — С. 103-131. — Бібліогр.: 25 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | We give a series of results on the improved integrability and boundedness of solutions to several high-order variational problems with strengthened coercivity. In particular, we consider the homogeneous Dirichlet problem on the minimum of integral functionals and study variational inequalities with unilateral and bilateral obstacles and with integral and gradient constraints.
|
| first_indexed | 2025-12-07T21:02:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169391 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T21:02:39Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Voitovych, M.V. 2020-06-11T20:25:25Z 2020-06-11T20:25:25Z 2018 Improved integrability and boundedness of solutions to some high-order variational problems / M.V. Voitovych // Український математичний вісник. — 2018. — Т. 15, № 1. — С. 103-131. — Бібліогр.: 25 назв. — англ. 1810-3200 2010 MSC. 35A15, 35J35, 35J87, 49J https://nasplib.isofts.kiev.ua/handle/123456789/169391 We give a series of results on the improved integrability and boundedness of solutions to several high-order variational problems with strengthened coercivity. In particular, we consider the homogeneous Dirichlet problem on the minimum of integral functionals and study variational inequalities with unilateral and bilateral obstacles and with integral and gradient constraints. This research was supported by the State Fund for Fundamental Research of Ukraine (Project No. 0117U006053). The author thanks the anonymous referees for a series of useful remarks that allowed to improve the presentation of this article. en Інститут прикладної математики і механіки НАН України Український математичний вісник Improved integrability and boundedness of solutions to some high-order variational problems Article published earlier |
| spellingShingle | Improved integrability and boundedness of solutions to some high-order variational problems Voitovych, M.V. |
| title | Improved integrability and boundedness of solutions to some high-order variational problems |
| title_full | Improved integrability and boundedness of solutions to some high-order variational problems |
| title_fullStr | Improved integrability and boundedness of solutions to some high-order variational problems |
| title_full_unstemmed | Improved integrability and boundedness of solutions to some high-order variational problems |
| title_short | Improved integrability and boundedness of solutions to some high-order variational problems |
| title_sort | improved integrability and boundedness of solutions to some high-order variational problems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169391 |
| work_keys_str_mv | AT voitovychmv improvedintegrabilityandboundednessofsolutionstosomehighordervariationalproblems |