Improved integrability and boundedness of solutions to some high-order variational problems

• Published in: Український математичний вісник
• Date: 2018
• Main Author: Voitovych, M.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169391
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...