The Average Distance Problem with Perimeter-to-Area Ratio Penalization
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Publication:5081154
DOI10.1137/21M1422987zbMath1491.49033arXiv2201.10100MaRDI QIDQ5081154
No author found.
Publication date: 13 June 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.10100
Smoothness and regularity of solutions to PDEs (35B65) Variational problems in a geometric measure-theoretic setting (49Q20) Optimality conditions for free problems in two or more independent variables (49K10)
Cites Work
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- Optimal urban networks via mass transportation
- On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint
- A presentation of the average distance minimizing problem
- Isoperimetry and stability properties of balls with respect to nonlocal energies
- Counterexample to regularity in average-distance problem
- Blow-up of optimal sets in the irrigation problem
- Properties of Minimizers of Average-Distance Problem via Discrete Approximation of Measures
- A Mass Transportation Model for the Optimal Planning of an Urban Region
- Qualitative Properties of Maximum Distance Minimizers and Average Distance Minimizers in \mathbb Rn
- On convex sets that minimize the average distance
- Quantitative estimates for bending energies and applications to non-local variational problems
- Stationary configurations for the average distance functional and related problems
- Optimal Pricing Policies for Public Transportation Networks
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