On convexity of level sets of p-harmonic functions

Zhang, Ting; Zhang, Wei

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On convexity of level sets of p-harmonic functions

Date

2013

Authors

Zhang, Ting

Zhang, Wei

Publisher

Southwest Texas State University

Abstract

In this paper, we give sharp estimates of the smallest principal curvature k1 of level sets of n-dimensional p-harmonic functions which extends the result of 2-dimensional minimal surface case due to Longinetti [Longinetti, On minimal surfaces bounded by