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

2016/08/03 by Sirakov, Boyan · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1608.01359

Abstract

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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• Existence and a priori bounds for fully nonlinear PDEs with a harmonic map-like structure

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