Abstract
We consider minimizers of linear functionals of the type
in the class of convex functions with prescribed determinant .
We obtain compactness properties for such minimizers and discuss their regularity in two dimensions.
Citation
Nam Le. Ovidiu Savin. "Some minimization problems in the class of convex functions with prescribed determinant." Anal. PDE 6 (5) 1025 - 1050, 2013. https://doi.org/10.2140/apde.2013.6.1025
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