On Hölder continuity of solutions of the Beltrami equations
UDC 517.5 We consider the problem of local behavior of solutions of the Beltrami equations in arbitrary domains.  We have found sufficient conditions for the complex coefficient of the Beltrami equation guaranteeing the existence of its Hölder conti...
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| Дата: | 2023 |
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| Автори: | , , , , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2023
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7464 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.5
We consider the problem of local behavior of solutions of the Beltrami equations in arbitrary domains.  We have found sufficient conditions for the complex coefficient of the Beltrami equation guaranteeing the existence of its Hölder continuous solution in an arbitrary domain.  These results can be used in the boundary-value problems for the Beltrami equation, as well as in the hydromechanics of strongly anisotropic and inhomogeneous media.
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| DOI: | 10.37863/umzh.v75i4.7464 |