3 papers
math.AP2026
Regularity for Minimizers of Mixed-Smoothness Variational Integrals
Jan Kristensen, Adam Prosinski, Aidan Strong
We establish the first partial regularity results for minimizers of a class of suitably quasiconvex variational integrals defined on anisotropic Sobolev spaces. These variational i…
math.AP2026
The Singular Set of Minima of Multiple Integrals
Cristiana De Filippis, Jan Kristensen, Giuseppe Mingione +1
The Hausdorff dimension of the singular set of local minimizers of quasiconvex integrals is strictly less than the ambient dimension.
math.AP2023
Quantified Legendreness and the regularity of minima
Cristiana De Filippis, Lukas Koch, Jan Kristensen
We introduce a new quantification of nonuniform ellipticity in variational problems via convex duality, and prove higher differentiability and -smoothness results for vector va…