论文标题

具有可测量系数的一类一级椭圆方程的广义蒙特尔定理

A generalized Montel theorem for a class of first order elliptic equations with measurable coefficients

论文作者

Duse, Erik

论文摘要

在本文中,我们证明了Montel定理对一类一类椭圆方程的概括,具有涉及Hodge-DiRAC运算符的可测量系数。然后,我们将此结果应用于二阶均匀椭圆方程的序列,具有可测量的差异形式的系数,并表明这将导致此类序列的预熟度结果。

In this paper we prove a generalization of Montel's theorem for a class of first order elliptic equations with measurable coefficients involving Hodge-Dirac operators. We then apply this result to sequences of solutions of second order uniformly elliptic equations with measurable coefficients on divergence form and show that this results in a precompactness result for such sequences.

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