Prof. Jan Kristensen

Cand Polyt, PhD

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

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

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)

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)

Boundary Regularity in Variational Problems

Kristensen, J Mingione, G Archive for Rational Mechanics and Analysis volume 198 issue 2 369-455 (23 Apr 2010)

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)

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)

Preferred address

Magdalen College High Street Oxford OX1 4AU England

Further details

Editorial boards

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

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

Zeitschrift fur Mathematik und ihrer Anwendungen https://www.ems-ph.org/journals/journal.php?jrn=ZAA

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

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

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)

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)

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)

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)

From the theorems of Morse, Sard, Dubovitskii and Federer to the Luzin N-property: the story so far

Ferone, A Korobkov, M Kristensen, J Pure and Applied Functional Analysis (01 Mar 2024)

Oscillation and concentration in sequences of PDE constrained measures

Kristensen, J Archive for Rational Mechanics and Analysis volume 246 823-875 (10 Nov 2022)

Research interests

Calculus of Variations

Partial Differential Equations

Real Analysis