Jan Kristensen

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All published works

Action	Title	Year	Authors
+	Quasiconvex Functionals of (p, q)-Growth and the Partial Regularity of Relaxed Minimizers	2024	Franz Gmeineder Jan Kristensen
+ PDF Chat	Quantified Legendreness and the Regularity of Minima	2024	Cristiana De Filippis Lukas Koch Jan Kristensen
+ PDF Chat	Lower semicontinuity, Stoilow factorization and principal maps	2024	Kari Astala Daniel Faraco André Guerra Aleksis Koski Jan Kristensen
+	Lower semicontinuity, Stoilow factorization and principal maps	2024	Kari Astala Daniel Faraco André Guerra Aleksis Koski Jan Kristensen
+	The local Burkholder functional, quasiconvexity and Geometric Function Theory	2023	Kari Astala Daniel Faraco André Guerra Aleksis Koski Jan Kristensen
+	Quantified Legendreness and the regularity of minima	2023	Cristiana De Filippis Lukas Koch Jan Kristensen
+ PDF Chat	Oscillation and Concentration in Sequences of PDE Constrained Measures	2022	Jan Kristensen Bogdan Raiţă
+ PDF Chat	Automatic Quasiconvexity of Homogeneous Isotropic Rank-One Convex Integrands	2022	André Guerra Jan Kristensen
+	On the validity of the Euler-Lagrange system without growth assumptions	2022	Lukas Koch Jan Kristensen
+	Quasiconvex functionals of $(p,q)$-growth and the partial regularity of relaxed minimizers	2022	Franz Gmeineder Jan Kristensen
+	Distortion of Hausdorff measures under Orlicz--Sobolev maps	2022	Andrea Cianchi Mikhail V. Korobkov Jan Kristensen
+	$\mathcal{A}$-harmonic approximation and partial regularity, revisited	2022	Matthias Bärlin Franz Gmeineder Christopher Irving Jan Kristensen
+ PDF Chat	Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands	2021	André Guerra Jan Kristensen
+	Concentration effects of BV gradients have gradient structure	2021	Jan Kristensen Bogdan Raiţă
+ PDF Chat	A trace preserving operator and applications	2020	Menita Carozza Jan Kristensen Antonia Passarelli di Napoli
+ PDF Chat	Sobolev regularity for convex functionals on BD	2019	Franz Gmeineder Jan Kristensen
+	Regularity for higher order quasiconvex problems with linear growth from below	2019	Franz Gmeineder Jan Kristensen
+	Oscillation and concentration in sequences of PDE constrained measures	2019	Jan Kristensen Bogdan Raiţă
+ PDF Chat	Partial Regularity for BV Minimizers	2018	Franz Gmeineder Jan Kristensen
+ PDF Chat	On the H-systems in higher dimension	2018	Nicola Fusco Jan Kristensen Chiara Leone Anna Verde
+ PDF Chat	The Gehring Lemma: Dimension free estimates	2018	Jan Kristensen Bianca Stroffolini
+ PDF Chat	The Trace Theorem, the Luzin N- and Morse–Sard Properties for the Sharp Case of Sobolev–Lorentz Mappings	2017	Mikhail V. Korobkov Jan Kristensen
+	A bridge between Dubovitskiĭ–Federer theorems and the coarea formula	2016	Piotr Hajłasz Mikhail V. Korobkov Jan Kristensen
+	Sobolev regularity for Symmetric-Convex Functionals	2016	Franz Gmeineder Jan Kristensen
+	Sobolev regularity for Convex Functionals on BD	2016	Franz Gmeineder Jan Kristensen
+ PDF Chat	On coercive variational integrals	2016	Chuei Yee Chen Jan Kristensen
+ PDF Chat	Lower semicontinuity for an integral functional in BV	2016	Jan Kristensen Panu Lahti
+ PDF Chat	On Rank One Convex Functions that are Homogeneous of Degree One	2016	Bernd Kirchheim Jan Kristensen
+	Sobolev regularity for Convex Functionals on BD	2016	Franz Gmeineder Jan Kristensen
+	Lower semicontinuity for an integral functional in BV	2015	Jan Kristensen Panu Lahti
+ PDF Chat	Piecewise affine approximations for functions of bounded variation	2015	Jan Kristensen Filip Rindler
+	A necessary and sufficient condition for lower semicontinuity	2015	Jan Kristensen
+	Lower semicontinuity for an integral functional in BV	2015	Jan Kristensen Panu Lahti
+ PDF Chat	Regularity of minimizers of autonomous convex variational integrals	2014	Menita Carozza Jan Kristensen Antonia Passarelli di Napoli
+	On the validity of the Euler-Lagrange system	2014	Menita Carozza Jan Kristensen Antonia Passarelli di Napoli
+	On the Morse-Sard Theorem for the sharp case of Sobolev mappings	2014	Jan Kristensen Mikhail V. Korobkov
+	On the regularity of holonomically constrained minimisers in the calculus of variations	2014	Jan Kristensen
+ PDF Chat	On the Morse–Sard property and level sets of W<sup> <i>n</i>,1</sup> Sobolev functions on ℝ<sup> <i>n</i> </sup>	2013	Jean Bourgain Mikhail V. Korobkov Jan Kristensen
+ PDF Chat	On the Morse–Sard property and level sets of Sobolev and BV functions	2013	Jean Bourgain Mikhail V. Korobkov Jan Kristensen
+	Piecewise affine approximations for functions of bounded variation	2012	Jan Kristensen Filip Rindler
+	BMO and uniform estimates for multi-well problems	2012	Georg Dolzmann Jan Kristensen Kewei Zhang
+	On the Morse-Sard property and level sets of $W^{n,1}$ Sobolev functions on ${\mathbb R}^n$	2012	Jean Bourgain Mikhail V. Korobkov Jan Kristensen
+	On the Morse-Sard property and level sets of $W^{n,1}$ Sobolev functions on ${\mathbb R}^n$	2012	Jean Bourgain Mikhail V. Korobkov Jan Kristensen
+	Piecewise affine approximations for functions of bounded variation	2012	Jan Kristensen Filip Rindler
+ PDF Chat	Erratum to: Characterization of Generalized Gradient Young Measures Generated by Sequences in W 1,1 and BV	2011	Jan Kristensen Filip Rindler
+	Compactness versus regularity in the calculus of variations	2011	Daniel Faraco Jan Kristensen
+ PDF Chat	Automatic convexity of rank-1 convex functions	2011	Bernd Kirchheim Jan Kristensen
+	Higher differentiability of minimizers of convex variational integrals	2011	Menita Carozza Jan Kristensen Antonia Passarelli di Napoli
+	Lower Semicontinuity and Young Measures for Integral Functionals with Linear Growth	2011	Jan Kristensen
+	On the Morse-Sard Property and Level Sets of Sobolev and BV Functions	2010	Jean Bourgain Mikhail V. Korobkov Jan Kristensen
+	Boundary Regularity in Variational Problems	2010	Jan Kristensen Giuseppe Mingione
+	Characterization of Generalized Gradient Young Measures Generated by Sequences in W1,1 and BV	2010	Jan Kristensen Filip Rindler
+	On the Morse-Sard Property and Level Sets of Sobolev and BV Functions	2010	Jean Bourgain Mikhail V. Korobkov Jan Kristensen
+ PDF Chat	Boundary regularity of minima	2008	Jan Kristensen Giuseppe Mingione
+	Regularity in oscillatory nonlinear elliptic systems	2008	Jan Kristensen Christof Melcher
+	The existence of regular boundary points for non-linear elliptic systems	2007	Frank Duzaar Jan Kristensen Giuseppe Mingione
+	The Singular Set of Lipschitzian Minima of Multiple Integrals	2006	Jan Kristensen Giuseppe Mingione
+	The Singular Set of Minima of Integral Functionals	2005	Jan Kristensen Giuseppe Mingione
+	The Singular Set of ω-minima	2005	Jan Kristensen Giuseppe Mingione
+	The Singular Set of omega-minima	2005	Jan Kristensen Giuseppe Mingione
+ PDF Chat	Non-differentiable functionals and singular sets of minima	2004	Jan Kristensen Giuseppe Mingione
+ PDF Chat	Gradient ranges of bumps on the plane	2004	Jan Kolář Jan Kristensen
+	Higher integrability of minimizing Young measures	2004	Georg Dolzmann Jan Kristensen
+	Partial Regularity of Strong Local Minimizers in the Multi-Dimensional Calculus of Variations	2003	Jan Kristensen Ali Taheri
+	The set of gradients of a bump	2002	Jan Kolář Jan Kristensen
+	fMathematik in den Naturwissenschaften Leipzig	2002	Jan Kolář Jan Kristensen
+	Differentiability of convex envelopes	2001	Bernd Kirchheim Jan Kristensen
+ PDF Chat	Regularity of quasiconvex envelopes	2000	J. M. Ball Bernd Kirchheim Jan Kristensen
+	Conditions for Equality of Hulls in the Calculus of Variations	2000	Georg Dolzmann Bernd Kirchheim Jan Kristensen
+ PDF Chat	On conditions for polyconvexity	1999	Jan Kristensen
+ PDF Chat	Lower semicontinuity in spaces of weakly differentiable functions	1999	Jan Kristensen
+ PDF Chat	On the non-locality of quasiconvexity	1999	Jan Kristensen
+	Lower semicontinuity of quasi-convex integrals in BV	1998	Jan Kristensen
+	Lower semicontinuity in Sobolev spaces below the growth exponent of the integrand	1997	Jan Kristensen

Common Coauthors

Coauthor	Papers Together
Mikhail V. Korobkov	10
Franz Gmeineder	9
Giuseppe Mingione	8
Jean Bourgain	6
Filip Rindler	5
Bernd Kirchheim	5
André Guerra	4
Menita Carozza	4
Antonia Passarelli di Napoli	4
Daniel Faraco	4
Jan Kolář	3
Panu Lahti	3
Kari Astala	3
Aleksis Koski	3
Georg Dolzmann	3
Bogdan Raiţă	3
Lukas Koch	3
Cristiana De Filippis	2
Frank Duzaar	1
André Guerra	1
Kewei Zhang	1
Matthias Bärlin	1
Anna Verde	1
Chiara Leone	1
Piotr Hajłasz	1
Nicola Fusco	1
J. M. Ball	1
Andrea Cianchi	1
Bianca Stroffolini	1
Ali Taheri	1
Christof Melcher	1
Chuei Yee Chen	1
Christopher Irving	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Direct Methods in the Calculus of Variations	2003	Enrico Giusti	15
+	The Singular Set of Minima of Integral Functionals	2005	Jan Kristensen Giuseppe Mingione	14
+	Non-Lipschitz minimizers of smooth uniformly convex functionals	2002	Vladimír Šverák Xiaodong Yan	14
+ PDF Chat	Quasi-convexity and the lower semicontinuity of multiple integrals	1952	Charles B. Morrey	13
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey	13
+ PDF Chat	Regularity of minima: An invitation to the dark side of the calculus of variations	2006	Giuseppe Mingione	12
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	12
+	Relaxation of quasiconvex functional in BV(?, ?p) for integrands f(x, u,?;u)	1993	Irene Fonseca Stefan M�ller	10
+	Rank one property for derivatives of functions with bounded variation	1993	Giovanni Alberti	10
+	The Singular Set of Solutions to Non-Differentiable Elliptic Systems	2003	Giuseppe Mingione	10
+ PDF Chat	On the definition and the lower semicontinuity of certain quasiconvex integrals	1986	Paolo Marcellini	10
+ PDF Chat	Lower semicontinuity in spaces of weakly differentiable functions	1999	Jan Kristensen	10
+	Characterization of Generalized Gradient Young Measures Generated by Sequences in W1,1 and BV	2010	Jan Kristensen Filip Rindler	10
+	Weakly Differentiable Functions	1989	William P. Ziemer	9
+ PDF Chat	Quasi-convexity and lower semi-continuity of multiple variational integrals of any order	1965	Norman G. Meyers	9
+	Weak convergence of completely additive vector functions on a set	1968	Yu. G. Reshetnyak	9
+ PDF Chat	On Rank One Convex Functions that are Homogeneous of Degree One	2016	Bernd Kirchheim Jan Kristensen	9
+ PDF Chat	Regularity of quasiconvex envelopes	2000	J. M. Ball Bernd Kirchheim Jan Kristensen	9
+	Characterizations of young measures generated by gradients	1991	David Kinderlehrer Pablo Pedregal	9
+	Rank-one convexity does not imply quasiconvexity	1992	Vladimír Šverák	8
+	Sharp regularity for functionals with (p,q) growth	2004	Luca Esposito Francesco Leonetti Giuseppe Mingione	8
+	On the relaxation in BV(Ω; Rm) of quasi-convex integrals	1992	Luigi Ambrosio Gianni Dal Maso	8
+	Convex Variational Problems: Linear, nearly Linear and Anisotropic Growth Conditions	2003	Michael Bildhauer	8
+	Regularity of minimizers of W1,p -quasiconvex variational integrals with (p,q)-growth	2007	Thomas Schmidt	8
+	A function not constant on a connected set of critical points	1935	Hassler Whitney	8
+	Weak lower semicontinuity of polyconvex integrals	1993	Jan Malý	8
+	Quasiconvexity and Partial Regularity in the Calculus of Variations	1987	Lawrence C. Evans	7
+	Regularity results for minimizers of irregular integrals with (p,q) growth	2002	Luca Esposito Francesco Leonetti Giuseppe Mingione	7
+ PDF Chat	Relaxation of multiple integrals below the growth exponent	1997	Irene Fonseca Jan Malý	7
+ PDF Chat	Convex integration for Lipschitz mappings and counterexamples to regularity	2003	Stefan Müller Vladimír Šverák	7
+	Geometric Measure Theory	1988	Herbert Fédérer	7
+	Non-Uniform Integrability and Generalized Young Measures	1997	Jean-Jacques Alibert Guy Bouchitté	7
+	Gradient Young measures generated by sequences in Sobolev spaces	1994	David Kinderlehrer Pablo Pedregal	7
+	Regularity and existence of solutions of elliptic equations with p,q-growth conditions	1991	Paolo Marcellini	7
+	Regularity of Relaxed Minimizers of Quasiconvex Variational Integrals with (p, q)-growth	2008	Thomas Schmidt	7
+	Bounds for the singular set of solutions to non linear elliptic systems	2003	Giuseppe Mingione	7
+ PDF Chat	Partial regularity of minimizers of quasiconvex integrals with subquadratic growth	1998	Menita Carozza Nicola Fusco Giuseppe Mingione	7
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	7
+	Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)	1984	Mariano Giaquinta	7
+	Quasiconvexity and partial regularity in the calculus of variations	1986	L. C. Evans	7
+ PDF Chat	Elliptic systems with non-linearityq greater or equal to two. Regularity of the solution of the dirichlet problem	1987	Sergio Campanato	6
+ PDF Chat	Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions	1989	Paolo Marcellini	6
+	The Singular Set of Lipschitzian Minima of Multiple Integrals	2006	Jan Kristensen Giuseppe Mingione	6
+	A construction of quasiconvex functions with linear growth at infinity	1992	Kewei Zhang	6
+	$\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures	1999	Irene Fonseca Stefan Müller	6
+	Lower semicontinuity of quasi-convex integrals in BV	1998	Jan Kristensen	6
+	A regularity theorem for minimizers of quasiconvex integrals	1987	E. Acerbi Nicola Fusco	6
+ PDF Chat	The measure of the critical values of differentiable maps	1942	Arthur Sard	6
+ PDF Chat	A simple proof of the Morse-Sard theorem in Sobolev spaces	2008	Alessio Figalli	6
+	Higher differentiability of minimizers of convex variational integrals	2011	Menita Carozza Jan Kristensen Antonia Passarelli di Napoli	6