Nonlinear analysis on Manifolds: Monge-Ampère equations
✍ Scribed by A. T. Fomenko; N. V. Krylov
- Publisher
- Springer Netherlands
- Year
- 1987
- Tongue
- English
- Weight
- 288 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0167-8019
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📜 SIMILAR VOLUMES
In this paper we consider the second order Monge᎐Ampere equations in Ž . Ž . Ž . 1q1 , 2 q 1 , and 3 q 1 dimensions. We face the problem of reducing to linear form the first order systems that are equivalent to the given Monge᎐Ampere èquations. When the coefficients are assumed constant there are i
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