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New maximum principles for linear elliptic equations

Abstract

We prove extensions of the estimates of Aleksandrov and Bakel'man for linear elliptic operators in Euclidean space Rn\Bbb{R}^{\it n} to inhomogeneous terms in LqL^q spaces for q<nq < n. Our estimates depend on restrictions on the ellipticity of the operators determined by certain subcones of the positive cone. We also consider some applications to local pointwise and L2L^2 estimates

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    Last time updated on 04/12/2019