A weighted gradient estimate for solutions of $ L^p $ Christoffel-Minkowski problem-Reference-Cited by-同舟云学术

A weighted gradient estimate for solutions of $ L^p $ Christoffel-Minkowski problem

Published:2022 Issue:3 Volume:5 Page:1-14
ISSN:2640-3501
Container-title:Mathematics in Engineering
language:
Short-container-title:MINE

Author:

Guan Pengfei

Abstract

<abstract><p>We extend the weighted gradient estimate for solutions of nonlinear PDE associated to the prescribed $ k $-th $ L^p $-area measure problem to the case $ 0 < p < 1 $. The estimate yields non-collapsing estimate for symmetric convex bodied with prescribed $ L^p $-area measures.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Mathematical Physics,Analysis

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