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math.AP2023
Geometric De Giorgi Theory
Lihe Wang
We prove De Giorgi-Nash-Moser Theory using a geometric approach.
math.AP2023
Partial Regularity of Navier-Stokes Equations
Lihe Wang
We prove, with a more geometric approach, that the solutions to the Navier-Stokes equations are regular up to a set of Hausdorff dimension 1. The main tool for the proof is a new c…
math.AP2016★ 3 cited
Inhomogeneous Hopf-Oleĭnik Lemma and Applications. Part IV: Sharp Krylov Boundary Gradient Type Estimates for Solutions to Fully Nonlinear Differential Inequalities with unbounded coefficients and boundary data
J. Ederson M Braga, Diego Moreira, Lihe Wang
In this paper we provide another application of the Inhomogeneous Hopf-Ole\uınik Lemma (IHOL) proved in \cite{BM-IHOL-PartI} or \cite{Boyan-2}. As a matter of fact, we also provide…