Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2022-10-17 DOI:10.1515/ans-2022-0064

Ariel Barton, M. J. Duffy

引用次数: 0

Abstract

Abstract We establish the Caccioppoli inequality, a reverse Hölder inequality in the spirit of the classic estimate of Meyers, and construct the fundamental solution for linear elliptic differential equations of order 2 m 2m with certain lower order terms.

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具有低阶项的高阶椭圆系统的梯度估计及其基本解

摘要我们根据Meyers的经典估计精神，建立了Cacciopoli不等式，这是一个反Hölder不等式，并构造了具有某些低阶项的2m2m阶线性椭圆型微分方程的基本解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.