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.

引用

页码：1517 / 1538

页数：21

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