New maximum principles for linear elliptic equations

被引：13

作者：

Kuo, Hung-Ju ^{[1
]}

Trudinger, Neil S.

机构：

[1] Natl Chung Hsing Univ, Dept Appl Math, Taichung 402, Taiwan

[2] Australian Natl Univ, Ctr Math & Applicat, Canberra, ACT 0200, Australia

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2007年 / 56卷 / 05期

关键词：

maximum principles; linear elliptic equations; k-Hessian operator; Green's function; local estimates;

D O I：

10.1512/iumj.2007.56.3073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove extensions of the extimates of Aleksandrov and Bakel' man for linear elliptic operation in Euclidean space R-n to inhomogeneous terms in L-q spaces for q < n. Our estimates depend on restrictions on the ellipticity of the operations determined by certain subcones of the positive cone. We also consider some applications to local pointwise and L-2 estimates.

引用

页码：2439 / 2452

页数：14

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