Singular support of minimizers of the causal variational principle on the sphere

Bäuml L, Finster F, Schiefeneder D, von der Mosel H (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Calculus of Variations and Partial Differential Equations Springer Verlag (Germany)

Book Volume: 58

Article Number: 205

Journal Issue: 6

DOI: 10.1007/s00526-019-1652-7

Abstract

The support of minimizing measures of the causal variational principle on the sphere is analyzed. It is proven that in the case τ>3, the support of every minimizing measure is contained in a finite number of real analytic curves which intersect at a finite number of points. In the case τ>6, the support is proven to have Hausdorff dimension at most 6 / 7.

Authors with CRIS profile

Lucia Bäuml Economics - Discrete Optimization - Mathematics (EDOM)

Involved external institutions

Universität Regensburg DE Germany (DE) Leopold-Franzens-Universität Innsbruck / University of Innsbruck AT Austria (AT) Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE)

How to cite

APA:

Bäuml, L., Finster, F., Schiefeneder, D., & von der Mosel, H. (2019). Singular support of minimizers of the causal variational principle on the sphere. Calculus of Variations and Partial Differential Equations, 58(6). https://dx.doi.org/10.1007/s00526-019-1652-7

MLA:

Bäuml, Lucia, et al. "Singular support of minimizers of the causal variational principle on the sphere." Calculus of Variations and Partial Differential Equations 58.6 (2019).

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