The general solution of the equation with minimal smoothness requirements is presented in explicit form; it depends on 2 functions of one variable. In particular, it allows to describe explicitly all developable surfaces (without planar points) in . The domain and singularities of the solution are investigated.
Cite this article
V. Ushakov, The explicit general solution of trivial Monge-Ampère equation. Comment. Math. Helv. 75 (2000), no. 1, pp. 125–133DOI 10.1007/S000140050115