Bernd Kirchheim

Publications

1.2K

Citations

H-Index

1994

Active since

Affiliations

Max Planck Institute for Mathematics in the Sciences(Current)

University of Oxford

Max Planck Institute for Mathematics

Max Planck Society

Scuola Normale Superiore

Bernd Kirchheim is an author at Max Planck Institute for Mathematics in the Sciences specializing in functional analysis, engineering, and integral geometry.

Top concepts

Functional AnalysisEngineeringIntegral GeometryEntropyPhysicsDynamicsMechanicsSolid MechanicsSpectral TheoryDiscrete Geometry

Publications per year

1994–2016

Publications

Currents in metric spaces

Luigi Ambrosio, Bernd Kirchheim · Acta Mathematica · 2000 · 372 citations · Full text

Riemannian Geometry, Global Analysis, Riemannian Manifold +2

Rectifiable metric spaces: local structure and regularity of the Hausdorff measure

Bernd Kirchheim · Proceedings of the American Mathematical Society · 1994 · 222 citations · Full text

Measure Theory, Density Behaviour, Local Structure +6

Regularity of quasiconvex envelopes

J. M. Ball, Bernd Kirchheim, Jan Kristensen · Calculus of Variations and Partial Differential Equations · 2000 · 91 citations

Variational Analysis, Regularization (Mathematics), Quasiconvex Envelopes +2

Existence of optimal transport maps for crystalline norms

Luigi Ambrosio, Bernd Kirchheim, Aldo Pratelli · Duke Mathematical Journal · 2004 · 87 citations

Spectral Theory, Integral Geometry, Crystalline Norms +13

On Rank One Convex Functions that are Homogeneous of Degree One

Bernd Kirchheim, Jan Kristensen · Archive for Rational Mechanics and Analysis · 2016 · 86 citations · Full text

Degree One, Functional Analysis

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