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Convex solutions of boundary value problem arising from Monge-Ampère equations

✍ Scribed by Wang, Haiyan; Hu, Shouchuan


Book ID
126917113
Publisher
American Institute of Mathematical Sciences
Year
2006
Tongue
English
Weight
241 KB
Volume
16
Category
Article
ISSN
1078-0947

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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