Approximation of variational problems with a convexity constraint by PDEs of Abreu type

Author:

Carlier Guillaume,Radice Teresa

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference11 articles.

1. Benamou, J.-D., Carlier, G., Mérigot, Q., Oudet, É.: Discretization of functionals involving the Monge–Ampère operator. Numer. Math. 134(3), 611–636 (2016)

2. Carlier, G., Lachand-Robert, T.: Representation of the polar cone of convex functions and applications. J. Convex Anal. 15(3), 535–546 (2008)

3. Chau, A., Weinkove, B.: Monge–Ampère functionals and the second boundary value problem. Math. Res. Lett. 22(4), 1005–1022 (2015)

4. Gutiérrez, C.E.: The Monge–Ampère Equation, Volume 89 of Progress in Nonlinear Differential Equations and Their Applications. Birkhäuser/Springer, [Cham], 2016. Second edition [of MR1829162]

5. Le, N.Q.: Global second derivative estimates for the second boundary value problem of the prescribed affine mean curvature and Abreu’s equations. Int. Math. Res. Not. IMRN 11, 2421–2438 (2013)

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