Entropy solutions of Dirichlet problem for a class of nonlinear elliptic fourth order equations with L¹-data

• Published in: Нелинейные граничные задачи
• Date: 1999
• ISSN: 0236-0497
• Main Author: Kovalevsky, A.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 1999
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169271
• 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 fourth order equations with L¹-data / A.A. Kovalevsky // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 46-54. — Бібліогр.: 12 назв. — англ.

We consider the question on solvability and uniqueness of entropy solutions of Dirichlet problem for a class of nonlinear elliptic fourth order equations with L¹-right-hand sides. We restrict ourselves with equations of the fourth order, but it is not so signicant.