On rank-one convex functions that are homogeneous of degree one

We show that positively $1$--homogeneous rank one convex functions are convex at $0$ and at matrices of rank one. The result is a special case of an abstract convexity result that we establish for positively $1$--homogeneous directionally convex functions defined on an open convex cone in a finite d...

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Bibliographic Details
Main Authors: Kirchheim, B, Kristensen, J
Format: Journal article
Published: Springer Berlin Heidelberg 2016