On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity

11 Feb 2020 Le Nam Q.

We revisit the problem of approximating minimizers of certain convex functionals subject to a convexity constraint by solutions of fourth order equations of Abreu type. This approximation problem was studied in previous works of Carlier-Radice (Approximation of variational problems with a convexity constraint by PDEs of Abreu type... (read more)

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