Curvature estimates in dimensions 2 and 3 for the level sets of 𝑝-harmonic functions in convex rings

Jost, Jürgen; Ma, Xi-Nan; Ou, Qianzhong

doi:10.1090/S0002-9947-2012-05436-5

Curvature estimates in dimensions 2 and 3 for the level sets of $p$-harmonic functions in convex rings
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by Jürgen Jost, Xi-Nan Ma and Qianzhong Ou PDF

Trans. Amer. Math. Soc. 364 (2012), 4605-4627 Request permission

Abstract:

Sharp curvature estimates are given for the level sets of a class of $p$-harmonic functions in two and three dimensional convex rings.

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