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Pengfei Guan

Downloads: 1 Citations: 3 Articles: 1

Publication Fields

Physical Sciences and Engineering

Information Sciences

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Article type

Research Article (1)

Year

2026 (1)

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Open Access Research Article Issue

A weighted gradient estimate for solutions of

L^{p}

Christoffel-Minkowski problem

Pengfei Guan

Mathematics in Engineering 2023, 5(3): 1-14

Published: 15 June 2023

Abstract

PDF (335.2 KB) Collect Collected

Downloads：1

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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