L^p $ Christoffel-Minkowski问题解的加权梯度估计

IF 1.4 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematics in Engineering Pub Date : 2022-01-01 DOI:10.3934/mine.2023067

Pengfei Guan

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引用次数: 2

摘要

我们将给定的$ k $- $ L^p $-面积测度问题的非线性偏微分方程解的加权梯度估计推广到$ 0 < p < 1 $的情况。该估计得到了具有给定L^p $-面积测度的对称凸体的非坍缩估计。

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

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.

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来源期刊

Mathematics in Engineering MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

12 weeks