2024 A Uniform Local Comparison Principle for Higher Order Differential Operators with $L^1$ Singularity
Yang Liu, Bangxin Jiang, Yifei Pan
Real Anal. Exchange 49(1): 205-220 (2024). DOI: 10.14321/realanalexch.49.1.1655105744

Abstract

In this paper, we prove a uniform local comparison principle for differential inequality of higher order. As a result, we derive a Hopf lemma for higher order differential operators with $L^1$ coefficients. In particular, an application of the obtained results to powers of the Laplacian is provided.

Citation

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Yang Liu. Bangxin Jiang. Yifei Pan. "A Uniform Local Comparison Principle for Higher Order Differential Operators with $L^1$ Singularity." Real Anal. Exchange 49 (1) 205 - 220, 2024. https://doi.org/10.14321/realanalexch.49.1.1655105744

Information

Published: 2024
First available in Project Euclid: 23 February 2024

Digital Object Identifier: 10.14321/realanalexch.49.1.1655105744

Subjects:
Primary: 34L30
Secondary: 34A40

Keywords: Comparison principle , differential inequality , higher order differential operator , Hopf lemma

Rights: Copyright © 2024 Michigan State University Press

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Vol.49 • No. 1 • 2024
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