A note on the Monge-Amp\`ere type equations with general source terms
Analysis of PDEs
2016-11-22 v2
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.
Cite
@article{arxiv.1611.03222,
title = {A note on the Monge-Amp\`ere type equations with general source terms},
author = {Weifeng Qiu and Lan Tang},
journal= {arXiv preprint arXiv:1611.03222},
year = {2016}
}