paper

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

arXiv:2210.09207

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 with certain lower order terms.

66 pages, 3 figures

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