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Continuity Estimates for the Monge–Ampère Equation

✍ Scribed by Jian, Huai-Yu; Wang, Xu-Jia


Book ID
118197640
Publisher
Society for Industrial and Applied Mathematics
Year
2007
Tongue
English
Weight
229 KB
Volume
39
Category
Article
ISSN
0036-1410

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Solution surfaces of Monge–Ampère equati
✍ Go-o Ishikawa; Tohru Morimoto 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 92 KB

In this paper we examine the singularities of solution surfaces of Monge-Ampère equations and study their global and local effects on the solutions for certain kinds of equations in the framework of contact geometry. In particular, as a byproduct, we give a simple proof to the classical Hartman-Nire