Lemma about increase of approximate solutions to the Dirichlet problem for m-Hessian equations

被引：0

作者：

Ivochkina N.M. ^{[1
]}

Filimonenkova N.V. ^{[1
]}

机构：

[1] St. Petersburg State University of Architecture and Civil Engineering, St. Petersburg 190005

来源：

Journal of Mathematical Sciences | 2009年 / 156卷 / 4期

关键词：

Dirichlet Problem; Barrier Function; Principal Curvature; Convex Surface; Elementary Symmetric Function;

D O I：

10.1007/s10958-009-9277-6

中图分类号：

学科分类号：

摘要：

We prove an assertion about the increase of a solution, weak in the sense of Trudinger, to the Dirichlet problem for m-Hessian equations with the righthand side in L q , q > n(n + 1)/(2m). We estimate the ratio between the increment of the solution along the normal and the distance to the boundary of a domain. This assertion is also proved for some class of degenerate linear elliptic equations of second order. Bibliography: 7 titles. © 2009 Springer Science+Business Media, Inc.

引用

页码：606 / 616

页数：10

共 7 条

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[3]

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[7]

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