|
This article is cited in 4 scientific papers (total in 4 papers)
The behaviour of solutions of elliptic inequalities that are non-linear with respect to the highest derivatives
A. A. Kon'kov M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
This paper deals with non-negative solutions of the elliptic inequalities $\operatorname{div} A(x,Du)\ge F(x,u)$ in $\Omega$, where $A\colon\Omega\times\mathbb R^n\to\mathbb R^n$ and $F\colon\Omega\times[0,\infty)\to[0,\infty)$ are functions and $\Omega$ is an unbounded open subset of $\mathbb R^n$, $n\geqslant2$.
Received: 06.10.2005
Citation:
A. A. Kon'kov, “The behaviour of solutions of elliptic inequalities that are non-linear with respect to the highest derivatives”, Izv. Math., 71:1 (2007), 15–51
Linking options:
https://www.mathnet.ru/eng/im599https://doi.org/10.1070/IM2007v071n01ABEH002348 https://www.mathnet.ru/eng/im/v71/i1/p17
|
Statistics & downloads: |
Abstract page: | 528 | Russian version PDF: | 245 | English version PDF: | 23 | References: | 100 | First page: | 5 |
|