Optimal Boundary Regularity for Uniformly Degenerate Elliptic Equations

2024/11/25 by Han, Qing, Xie, Jiongduo · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.16418

Abstract

In this survey paper, we study the optimal regularity of solutions to uniformly degenerate elliptic equations in bounded domains and establish the Hölder continuity of solutions and their derivatives up to the boundary.

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• On nondivergence form linear parabolic and elliptic equations with degenerate coefficients

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