Jan Kristensen

activity

20102026

most citedOn Rank-One Convex Functions that are homogeneous of Degree One

87 citations · 190 across the 16 of their papers we have counts for

collaborators

Showing 2012 · math.APShow all

2 papers · 2 filters

math.AP2012★ 1 cited

Piecewise affine approximations for functions of bounded variation

Jan Kristensen, Filip Rindler

BV functions cannot be approximated well by piecewise constant functions, but this work will show that a good approximation is still possible with (countably) piecewise affine func…

math.AP2012

On the Morse-Sard property and level sets of $W^{n, 1}$ Sobolev functions on $R^{n}$

Jean Bourgain, Mikhail V. Korobkov, Jan Kristensen

We establish Luzin N and Morse--Sard properties for functions from the Sobolev space $W^{n, 1} (R^{n})$ . Using these results we prove that almost all level sets are finite…

Piecewise affine approximations for functions of bounded variation

On the Morse-Sard property and level sets of Wn,1 Sobolev functions on Rn

On the Morse-Sard property and level sets of $W^{n, 1}$ Sobolev functions on $R^{n}$