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

• Published in: Нелинейные граничные задачи
• Date: 2002
• Main Author: Kovalevsky, A.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2002
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169222
• 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 high-order equations with L¹-data / A.A. Kovalevsky // Нелинейные граничные задачи. — 2002. — Т. 12. — С. 119-127. — Бібліогр.: 9 назв. — англ.

In this paper we study Dirichlet problem for nonlinear elliptic high-order equations with coefficients satisfying a strengthened ellipticity condition. A class of nonlinear high-order equations with such a condition on coefficients and data which are within usual theory of monotone operators [7] has...