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

Erik Duse

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arXiv · 2011.12185

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

Erik Duse

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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.

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Erik Duse. 2020-11-24. A generalized Montel theorem for a class of first order elliptic equations with measurable coefficients. https://arxiv.org/abs/2011.12185

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