This article is cited in 8 papers

Estimates for the dimensions of the domains of regularity of solutions of certain Monge–Ampère equation

N. V. Efimov


Abstract: An (incomplete) Monge-Ampère equation is considered, as well as a domain where this equation has a regular solution. Estimates are established on the size of a rectangle that can be inscribed in this domain. The estimates depend on the equation, but not on its solution.
Bibliography: 3 titles.

UDC: 513.8

MSC: Primary 35L10; Secondary 53A05

Received: 16.02.1976

 English version: Mathematics of the USSR-Sbornik, 1976, 29:3, 319–326

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