Abstract
We consider second order linear elliptic equations $ - \div (A(x) \nabla u) + \mathbf{b}(x) \cdot \nabla u = 0$ with a singular vector field $\mathbf{b}$. We prove a refined subsolution estimate, which contains a precise dependence of the quantities of $\mathbf{b}$, for weak subsolutions and a weak Harnack inequality for weak supersolutions under certain assumptions on $\mathbf{b}$.
Citation
Takanobu HARA. "A Refined Subsolution Estimate of Weak Subsolutions to Second Order Linear Elliptic Equations with a Singular Vector Field." Tokyo J. Math. 38 (1) 75 - 98, June 2015. https://doi.org/10.3836/tjm/1428412565
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