Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Heiko von der Mosel"'
Publikováno v:
Journal of evolution equations : JEE 23(2), 31 (2023). doi:10.1007/s00028-022-00863-x
We establish long-time existence of Banach gradient flows for generalised integral Menger curvatures and tangent-point energies, and for O'Hara's self-repulsive potentials $E^{\alpha,p}$. In order to do so, we employ the theory of curves of maximal s
Möbius-invariant self-avoidance energies for non-smooth sets of arbitrary dimension and co-dimension
Autor:
Bastian Käfer, Heiko von der Mosel
Publikováno v:
Advances in Mathematics. 426:109108
Autor:
Anna Lagemann, Heiko von der Mosel
Using interpolation with biarc curves we prove $\Gamma$-convergence of discretized tangent-point energies to the continuous tangent-point energies in the $C^1$-topology, as well as to the ropelength functional. As a consequence discrete almost minimi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0f019e3c13c0d64be64d3b861f7efab
http://arxiv.org/abs/2203.16383
http://arxiv.org/abs/2203.16383
Publikováno v:
Mathematische Annalen 385(1/2), 811-844 (2023). doi:10.1007/s00208-021-02346-9
Mathematische Annalen (2022). doi:10.1007/s00208-021-02346-9
Published by Springer, Berlin ; Heidelberg
Published by Springer, Berlin ; Heidelberg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b920f514466f23b72f8a966d9ff06928
Publikováno v:
Advances in calculus of variations (2022). doi:10.1515/acv-2021-0037
We establish long-time existence for a projected Sobolev gradient flow of generalized integral Menger curvature in the Hilbert case, and provide $C^{1,1}$-bounds in time for the solution that only depend on the initial curve. The self-avoidance prope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d991f26afb035886e71a42d48d1ba4ea
http://arxiv.org/abs/2103.10408
http://arxiv.org/abs/2103.10408
Publikováno v:
Communications in analysis and geometry
In this paper, we establish compactness for various geometric curvature energies including integral Menger curvature, and tangent-point repulsive potentials, defined a priori on the class of compact, embedded $m$-dimensional Lipschitz submanifolds in
Autor:
Sven Pistre, Heiko von der Mosel
Publikováno v:
European Journal of Mathematics. 3:953-973
We investigate a connection between the two-dimensional Finslerian area functional in arbitrary codimension based on the Busemann–Hausdorff volume form, and well-investigated Cartan functionals to solve the Plateau problem in Finsler spaces. This g
The support of minimizing measures of the causal variational principle on the sphere is analyzed. It is proven that in the case $��>\sqrt{3}$, the support of every minimizing measure is contained in a finite number of real analytic curves which i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebc5b8b09908b5834e517e84e7a49ef2
http://arxiv.org/abs/1808.09754
http://arxiv.org/abs/1808.09754
Autor:
Paweł Strzelecki, Heiko von der Mosel
Publikováno v:
Berlin : De Gruyter 8-35 (2018). doi:10.1515/9783110571493-002
New Directions in Geometric and Applied Knot Theory / Simon Blatt, Philipp Reiter, Armin Schikorra (Eds.)
New Directions in Geometric and Applied Knot Theory ISBN: 9783110571493
New Directions in Geometric and Applied Knot Theory / Simon Blatt, Philipp Reiter, Armin Schikorra (Eds.)
New Directions in Geometric and Applied Knot Theory ISBN: 9783110571493
New Directions in Geometric and Applied Knot Theory / Simon Blatt, Philipp Reiter, Armin Schikorra (Eds.); Berlin : De Gruyter 8-35 (2018). doi:10.1515/9783110571493-002
Published by De Gruyter, Berlin
Published by De Gruyter, Berlin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5798f2f4e69469056cf3a74d46cf7e40
https://publications.rwth-aachen.de/record/756025
https://publications.rwth-aachen.de/record/756025
Autor:
Patrick Overath, Heiko von der Mosel
Publikováno v:
Annals of Global Analysis and Geometry. 48:397-422
We explore a connection between the Finslerian area functional and well-investigated Cartan functionals to prove new Bernstein theorems, uniqueness and removability results for Finsler-minimal graphs, as well as enclosure theorems and isoperimetric i