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W2,1regularity for solutions of the Monge–Ampère equation

✍ Scribed by De Philippis, Guido; Figalli, Alessio

Book ID
118272940
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
558 KB
Volume
192
Category
Article
ISSN
0020-9910

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📜 SIMILAR VOLUMES

Solution surfaces of Monge–Ampère equati
Solution surfaces of Monge–Ampère equations
✍ 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