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Image of Prof. Jan Kristensen

Prof. Jan Kristensen

Cand Polyt, PhD
Pronouns
He / Him
Status
Academic Faculty

Professor of Mathematics and Tutorial Fellow at Magdalen College

 

+44 1865 615123
Contact form
ORCID iD
https://orcid.org/0000-0002-8302-5953
Research groups
  • Oxford Centre for Nonlinear PDE
Address

Magdalen College
High Street
Oxford
OX1 4AU

Major / recent publications

Kristensen, J. On the non-locality of quasiconvexity. Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), no. 1, pp. 1–13 DOI 10.1016/S0294-1449(99)80006-7

Ball, J., Kirchheim, B. and Kristensen, J. Regularity of quasiconvex envelopes. Calc Var 11, 333–359 (2000). https://doi.org/10.1007/s005260000041

Kristensen, J., Taheri, A. Partial Regularity of Strong Local Minimizers in the Multi-Dimensional Calculus of Variations. Arch. Rational Mech. Anal. 170, 63–89 (2003). https://doi.org/10.1007/s00205-003-0275-4

Kristensen, J., Mingione, G. The Singular Set of Minima of Integral Functionals. Arch. Rational Mech. Anal. 180, 331–398 (2006). https://doi.org/10.1007/s00205-005-0402-5

Duzaar, F., Kristensen, J. and Mingione, G. "The existence of regular boundary points for non-linear elliptic systems: To the memory of Sergio Campanato" Journal für die reine und angewandte Mathematik, vol. 2007, no. 602, 2007, pp. 17-58. https://doi.org/10.1515/CRELLE.2007.002

Kristensen, J., Mingione, G. Boundary Regularity in Variational Problems. Arch Rational Mech Anal 198, 369–455 (2010).https://doi.org/10.1007/s00205-010-0294-x

Kristensen, J., Rindler, F. Characterization of Generalized Gradient Young Measures Generated by Sequences in W1,1 and BV. Arch Rational Mech Anal 197, 539–598 (2010). https://doi.org/10.1007/s00205-009-0287-9

Bourgain, J.,  Korobkov, M.V. and Kristensen, J. On the Morse–Sard property and level sets of Sobolev and BV functions. Rev. Mat. Iberoam. 29 (2013), no. 1, pp. 1–23. DOI 10.4171/RMI/710

Carozza, M., Kristensen, J. and Passarelli di Napoli, A.  Regularity of minimizers of autonomous convex variational integrals. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 13(4), (2014) 1065-1089. https://doi.org/10.2422/2036-2145.201208_005

Bourgain, J., Korobkov, M.V. and Kristensen, J. "On the Morse–Sard property and level sets of Wn,1 Sobolev functions on ℝn" Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2015, no. 700, 2015, pp. 93-112. https://doi.org/10.1515/crelle-2013-0002

Kirchheim, B., Kristensen, J. On Rank One Convex Functions that are Homogeneous of Degree One. Arch Rational Mech Anal 221, 527–558 (2016). https://doi.org/10.1007/s00205-016-0967-1

Hajłasz, P., Korobkov, M.V. and Kristensen, J. A bridge between Dubovitskiĭ–Federer theorems and the coarea formula, J. Funct. Anal., 272 (3), (2017), 1265-1295. https://doi.org/10.1016/j.jfa.2016.10.031.

Korobkov, M.V., Kristensen, J. The Trace Theorem, the Luzin N- and Morse–Sard Properties for the Sharp Case of Sobolev–Lorentz Mappings. J Geom Anal 28, 2834–2856 (2018). https://doi.org/10.1007/s12220-017-9936-7

Gmeineder, F., Kristensen, J. Partial Regularity for BV Minimizers. Arch Rational Mech Anal 232, 1429–1473 (2019). https://doi.org/10.1007/s00205-018-01346-5

Kristensen, J., Raiță, B. Oscillation and Concentration in Sequences of PDE Constrained Measures. Arch Rational Mech Anal 246, 823–875 (2022). https://doi.org/10.1007/s00205-022-01828-7

Guerra, A., Kristensen, J. Automatic Quasiconvexity of Homogeneous Isotropic Rank-One Convex Integrands. Arch Rational Mech Anal 245, 479–500 (2022). https://doi.org/10.1007/s00205-022-01792-2

De Filippis, C., Koch, L. & Kristensen, J. Quantified Legendreness and the Regularity of Minima. Arch Rational Mech Anal 248, 69 (2024). https://doi.org/10.1007/s00205-024-02008-5


Gmeineder, F., Kristensen, J. Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers. Arch Rational Mech Anal 248, 80 (2024). https://doi.org/10.1007/s00205-024-02013-8

Astala, K., Faraco, D., Guerra, A., Koski, A. and Kristensen, J. The local Burkholder functional, quasiconvexity and geometric function theory,

(2023)  https://doi.org/10.48550/arXiv.2309.03495

Cianchi, A., Korobkov, M.V. and Kristensen, J. Distortion of Hausdorff measures under Orlicz–Sobolev maps. J. Eur. Math. Soc. (2025).DOI 10.4171/JEMS/1620
 

 

 

 

Recent publications
Distortion of Hausdorff measures under Orlicz-Sobolev maps
Cianchi, A Korobkov, M Kristensen, J Journal of the European Mathematical Society (19 Mar 2025) doi:10.4171/jems/1620
Quasiconvex functionals of (p,q)-growth and the partial regularity of relaxed minimizers
Gmeineder, F Kristensen, J Archive for Rational Mechanics and Analysis volume 248 issue 5 (09 Sep 2024) doi:10.1007/s00205-024-02013-8
Quasiconvex Functionals of ( p, q )-Growth and the Partial Regularity of Relaxed Minimizers
Gmeineder, F Kristensen, J Archive for Rational Mechanics and Analysis volume 248 issue 5 (09 Sep 2024) doi:10.1007/s00205-024-02013-8
Lower semicontinuity, Stoilow factorization and principal maps
Astala, K Faraco, D Guerra, A Koski, A Kristensen, J Communications on Pure and Applied Analysis volume 24 issue 10 1608-1645 (02 Aug 2024) doi:10.3934/cpaa.2024069
Quantified Legendreness and the regularity of minima
De Filippis, C Koch, L Kristensen, J Archive for Rational Mechanics and Analysis volume 248 issue 4 (29 Jul 2024) doi:10.1007/s00205-024-02008-5
Further details

Editorial boards

Advances in Calculus of Variations                                         http://www.deGruyter.com/journals/acv

Nonlinear Analysis                                                                   https://www.sciencedirect.com/journal/nonlinear-analysis

Bulletin of Mathematical Sciences                                    https://www.worldscientific.com/page/bms

Calculus of Variations and Partial Differential Equations         https://www.springer.com/journal/526

Science China Mathematics                                                    https://www.springer.com/journal/11425

Highlighted publications
Automatic convexity of rank-1 convex functions
Kirchheim, B Kristensen, J Comptes Rendus Mathematique volume 349 issue 7-8 407-409 (01 Apr 2011) doi:10.1016/j.crma.2011.03.013
Higher differentiability of minimizers of convex variational integrals
Carozza, M Kristensen, J Passarelli Di Napoli, A Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire volume 28 issue 3 395-411 (01 Jan 2011) doi:10.1016/j.anihpc.2011.02.005
Boundary Regularity in Variational Problems
Kristensen, J Mingione, G Archive for Rational Mechanics and Analysis volume 198 issue 2 369-455 (23 Apr 2010) doi:10.1007/s00205-010-0294-x
Characterization of generalized gradient young measures generated by sequences in W<sup>1,1</sup> and BV
Kristensen, J Rindler, F Archive for Rational Mechanics and Analysis volume 197 issue 2 539-598 (01 Jan 2010) doi:10.1007/s00205-009-0287-9
Relaxation of signed integral functionals in BV
Kristensen, J Rindler, F Calculus of Variations and Partial Differential Equations volume 37 issue 1 29-62 (01 Nov 2009) doi:10.1007/s00526-009-0250-5
Research interests

Calculus of Variations

Partial Differential Equations

Real Analysis

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