New maximum principles for linear elliptic equations

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We prove extensions of the estimates of Aleksandrov and Bakel$'$man for linear elliptic operators in Euclidean space $\Bbb{R}^{\it n}$ to inhomogeneous terms in $L^q$ spaces for $q < n$. 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 $L^2$ estimates.

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Analysis of PDEs, 35J15

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http://salesiana.dossiersoluciones.com/handle/123456789/114221

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607240
 http://arxiv.org/abs/math/0607240

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arXiv