The weighted Fermat-Torricelli problem on a surface and an ``inverse problem

DOI10.1016/j.jmaa.2010.06.029zbMath1205.53042OpenAlexW2053998166MaRDI QIDQ710906

Athanase Cotsiolis, Anastasios N. Zachos

Publication date: 22 October 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.06.029

zbMATH Keywords

Fermat-Torricelli probleminverse Fermat-Torricelli problem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (4)

The plasticity of non-overlapping convex sets in R^{2} ⋮ An analytical solution of the weighted Fermat-Torricelli problem on a unit sphere ⋮ A plasticity principle of convex quadrilaterals on a convex surface of bounded specific curvature ⋮ Exact location of the weighted Fermat-Torricelli point on flat surfaces of revolution

Cites Work

• Geometric methods and optimization problems
• A derivative-coderivative inclusion in second-order nonsmooth analysis
• The Fermat-Steiner Problem
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