Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Improved integrability and boundedness of solutions to some high-order variational problems
Репозиторій DSpace/Manakin
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Improved integrability and boundedness of solutions to some high-order variational problems
Інший ID:
2010 MSC. 35A15, 35J35, 35J87, 49J
Посилання:
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.
Підтримка:
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.
Дата:
2018
Переглядів:
445
Завантажень:
285
Анотація:
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.
