A priori properties of solutions of nonlinear equations with degenerate coercivity and L1-data

被引：0
|
作者：
Kovalevsky A.A. [1 ]
机构：
[1] Institute of Applied Mathematics and Mechanics, NAS of Ukraine
来源：
Journal of Mathematical Sciences | 2008年 / 149卷 / 5期
关键词：
Weak Solution; Dirichlet Problem; Radon Measure; Entropy Solution; Nonlinear Elliptic Equation;
D O I：
10.1007/s10958-008-0080-6
中图分类号：
学科分类号：
摘要：
A Dirichlet problem for a second-order nonlinear elliptic equation in the general divergent form with a right-hand side from L1 is considered. The high-order coefficients in the equation are assumed to satisfy the degenerate coercivity condition. The main results concern a priori properties of summability and some estimates of entropy solutions of this problem. © 2008 Springer Science+Business Media, Inc.
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收藏
页码：1517 / 1538
页数：21
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