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arXiv · 1611.03222

A note on the Monge-Amp\`ere type equations with general source terms

Weifeng Qiu·Lan Tang
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Abstract

In this paper we consider the generalised solutions to the Monge-Amp{\`{e}}re type equations with general source terms. We firstly prove the so-called comparison principle and then give some important propositions for the border of generalised solutions. Furthermore, we design well-posed finite element methods for the generalised solutions with the classical and weak Dirichlet boundary conditions respectively.

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Weifeng Qiu, Lan Tang. 2016-11-10. A note on the Monge-Amp\`ere type equations with general source terms. https://arxiv.org/abs/1611.03222

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