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On sets of points of semicontinuity in fine topologies generated by an ideal

Bernd Kirchheim — 1990

Fundamenta Mathematicae

A chaotic function with zero topological entropy having a non-perfect attractor

Bernd Kirchheim — 1990

Mathematica Slovaca

Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group

Bernd Kirchheim; Francesco Serra Cassano — 2004

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We construct an intrinsic regular surface in the first Heisenberg group $ℍ^{1} \equiv ℝ^{3}$ equipped wiht its Carnot-Carathéodory metric which has euclidean Hausdorff dimension $2.5$ . Moreover we prove that each intrinsic regular surface in this setting is a $2$ -dimensional topological manifold admitting a $\frac{1}{2}$ -Hölder continuous parameterization.

Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions

Sergio Conti; Georg Dolzmann; Bernd Kirchheim — 2007

Annales de l'I.H.P. Analyse non linéaire

Sufficient conditions for the validity of the Cauchy-Born rule close to $SO (n)$

Sergio Conti; Georg Dolzmann; Bernd Kirchheim; Stefan Müller — 2006

Journal of the European Mathematical Society

The Cauchy–Born rule provides a crucial link between continuum theories of elasticity and the atomistic nature of matter. In its strongest form it says that application of affine displacement boundary conditions to a monatomic crystal will lead to an affine deformation of the whole crystal lattice. We give a general condition in arbitrary dimensions which ensures the validity of the Cauchy–Born rule for boundary deformations which are close to rigid motions. This generalizes results of Friesecke...

Continuous restrictions of linear maps between Banach spaces

V. I. Bogachev; Bernd Kirchheim; Walter Schachermayer — 1989

Acta Universitatis Carolinae. Mathematica et Physica

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Currently displaying 1 – 6 of 6

On sets of points of semicontinuity in fine topologies generated by an ideal

A chaotic function with zero topological entropy having a non-perfect attractor

Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group

Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions

Sufficient conditions for the validity of the Cauchy-Born rule close to $SO (n)$

Continuous restrictions of linear maps between Banach spaces

Advanced Search

Formula preview

Currently displaying 1 – 6 of 6

On sets of points of semicontinuity in fine topologies generated by an ideal

A chaotic function with zero topological entropy having a non-perfect attractor

Rectifiability and parameterization of intrinsic regular surfaces in the Heisenberg group

Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions

Sufficient conditions for the validity of the Cauchy-Born rule close to SO ( n )

Continuous restrictions of linear maps between Banach spaces

Sufficient conditions for the validity of the Cauchy-Born rule close to $SO (n)$