Differentiability of convex envelopes

By B. Kirchheim, Jan Kristensen. 2001

52 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/eeb2d43654ba4c2e326b16d3bccccb35ec14e987

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Luis Silvestre
2. Adam M. Oberman
3. J. Ball
4. Pablo Raúl Stinga
5. Enrico Valdinoci
6. Xavier Ros-Oton
7. Juan Luis V'azquez
8. Russell W. Schwab

In Computational Theory and Mathematics

1. Luis Silvestre
2. Adam M. Oberman
3. J. Ball
4. Enrico Valdinoci
5. Pablo Raúl Stinga
6. Xavier Ros-Oton
7. C. Bucur
8. Russell W. Schwab

In Geometry and Topology

1. Luis Silvestre
2. Adam M. Oberman
3. J. Ball
4. Eitan Tadmor
5. Michael Neilan
6. Susanne C. Brenner

Citations in the corpus

• The Dirichlet problem for the convex envelope (2010, background): “For the convex envelope problem, when the evevelope function g(x) is C, the convex envelope is as well [10, 9].”
• The convex envelope is the solution of a nonlinear obstacle problem (2007, background): “While certainly convex functions need not be differentiable in general, whenever the function g is continuously differentiable, so too is the convex envelope [9].”
• Progress and puzzles in nonlinear elasticity (2010, background): “It is not difficult to show that W ∗∗ is C1 (for a general result of this type see Kirchheim & Kristensen [20]).”