Prof. Jan Kristensen
Professor of Mathematics and Tutorial Fellow at Magdalen College
Magdalen College
High Street
Oxford
OX1 4AU
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
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
Calculus of Variations
Partial Differential Equations
Real Analysis