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New maximum principles for linear elliptic equations

Kuo, Hung-Ju; Trudinger, Neil


We prove extensions of the estimates of Aleksandrov and Bakel'man for linear elliptic operators in Euclidean space ℝn to inhomogeneous terms in Lq spaces for q < n. Our estimates depend on restrictions on the ellipticity of the operators determined by c

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
Source: Indiana University Mathematics Journal
DOI: 10.1512/iumj.2007.56.3073


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