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.
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页码：2439 / 2452
页数：14
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