On the uniqueness of energy-minimizing curves in constrained spaces

2023/06/13 by Ki-Ahm Lee, Taehun Lee, Lee, Ki-Ahm +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2306.07511

Abstract

In this paper, we investigate energy-minimizing curves with fixed endpoints p and q in a constrained space. We prove that when one of the endpoints, say p, is fixed, the set of points q for which the energy-minimizing curve is not unique has no interior points.

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