Some Remarks on Monge-ampère Functions
نویسنده
چکیده
The space of Monge-Ampère functions is a rather large function space with the property that, if u is a Monge-Ampère function, then the determinant of the Hessian can be identified with a well-defined Radon measure, denoted DetDu. Moreover, the map u 7→ DetDu is continuous in a natural weak topology on the space of Monge-Ampère functions. These properties make Monge-Ampère functions potentially useful for certain applications in the calculus of variations. We attempt to give a reasonably elementary treatment of a portion of the relevant theory.
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تاریخ انتشار 2007