On convexity of level sets of p-harmonic functions

Date

2013

Authors

Zhang, Ting
Zhang, Wei

Journal Title

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Volume Title

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

Description

Keywords

Keywords: Curvature estimates; Maximum principle; P-Harmonic functions; Support function

Citation

Source

Electronic Journal of Differential Equations

Type

Journal article

Book Title

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License Rights

Restricted until

2037-12-31