Some Rigidity Results Related to Monge–Ampèere Functions
From MaRDI portal
Publication:3550146
DOI10.4153/CJM-2010-019-8zbMath1194.49065MaRDI QIDQ3550146
Publication date: 31 March 2010
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Rigidity results (53C24)
Related Items
Integral Geometric Regularity ⋮ A note on Sobolev isometric immersions below \(W^{2,2}\) regularity ⋮ A strictly convex Sobolev function with null Hessian minors ⋮ Kinematic formulas for sets defined by differences of convex functions ⋮ Very weak solutions to the two-dimensional Monge-Ampére equation ⋮ Monge-Ampère operators and valuations ⋮ Piecewise linear approximation of smooth functions of two variables ⋮ Normal cycles and curvature measures of sets with d.c. boundary ⋮ An extension of Alexandrov's theorem on second derivatives of convex functions ⋮ Piecewise linear approximation of smooth functions of two variables ⋮ Sobolev spaces of isometric immersions of arbitrary dimension and co-dimension ⋮ Convex integration for the Monge-Ampère equation in two dimensions ⋮ Approximation of flat \(W ^{2,2}\) isometric immersions by smooth ones ⋮ Fine level set structure of flat isometric immersions ⋮ Approximation by mappings with singular Hessian minors ⋮ Euler-lagrange equation and regularity for flat minimizers of the Willmore functional ⋮ Bending paper and the Möbius strip ⋮ Optimal function spaces for continuity of the Hessian determinant as a distribution