A generalized Montel theorem for a class of first order elliptic equations with measurable coefficients
Analysis of PDEs
2020-11-25 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2011.12185,
title = {A generalized Montel theorem for a class of first order elliptic equations with measurable coefficients},
author = {Erik Duse},
journal= {arXiv preprint arXiv:2011.12185},
year = {2020}
}
Comments
6 pages