Prof. Jan Kristensen

Cand Polyt, PhD

Status

Academic Faculty

Professor of Mathematics and Tutorial Fellow at Magdalen College

Associate Head of Department (Education)

Contact form

+44 1865 615123

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

Oscillation and concentration in sequences of PDE constrained measures

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

Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands

Guerra, A Kristensen, J Archive for Rational Mechanics and Analysis (22 May 2022)

A trace preserving operator and applications

Carozza, M Kristensen, J Passarelli di Napoli, A Journal of Mathematical Analysis and Applications 124170-124170 (01 May 2020)

Sobolev regularity for convex functionals on BD

Gmeineder, F Kristensen, J Calculus of Variations and Partial Differential Equations volume 58 issue 56 (26 Feb 2019)

Partial regularity for BV minimizers

Gmeineder, F Kristensen, J Archive for Rational Mechanics and Analysis volume 232 issue 3 1429-1473 (17 Dec 2018)

On the H-systems in higher dimension

Fusco, N Kristensen, J Leone, C Verde, A Nonlinear Analysis: Theory, Methods and Applications volume 177 issue B 480-490 (31 Oct 2018)

Research interests

Calculus of Variations

Partial Differential Equations

Real Analysis