A generalization of the flat cone condition for regularity of solutions of elliptic equations

Lieberman, Gary M.

doi:10.1090/S0002-9939-1987-0884468-6

A generalization of the flat cone condition for regularity of solutions of elliptic equations
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by Gary M. Lieberman

Proc. Amer. Math. Soc. 100 (1987), 289-294

DOI: https://doi.org/10.1090/S0002-9939-1987-0884468-6

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Abstract:

Barrier arguments are used to prove regularity of boundary points for a large class of uniformly elliptic operators when the domain satisfies a geometric condition. The condition is that the exterior of the domain contains a suitable lower dimensional set.

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