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arxiv: 1608.01359 · v3 · pith:WHUPB2BHnew · submitted 2016-08-03 · 🧮 math.AP

Boundary weak Harnack estimates and quantitative strong maximum principles for uniformly elliptic PDE

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keywords ellipticboundaryestimatesharnackmaximumquantitativestronguniformly
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We give full boundary extensions to two fundamental estimates in the theory of elliptic PDE, the weak Harnack inequality and the quantitative strong maximum principle, for uniformly elliptic equations in non-divergence form.

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