On the importance of the connectedness assumption in the statement of the optimal $p$-compliance problem

Bohdan Bulanyi

doi:10.1016/j.jmaa.2021.125064

paper

On the importance of the connectedness assumption in the statement of the optimal $p$ -compliance problem

arXiv:2101.04678 · doi:10.1016/j.jmaa.2021.125064

Abstract

In this short note we provide a proof of the importance of the connectedness assumption in the statement of the optimal $p$ -compliance problem with length penalization and in the statement of the constrained form of this problem for the existence of solutions.

9 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2101.04231

On the importance of the connectedness assumption in the statement of the optimal p-compliance problem

Abstract

On the importance of the connectedness assumption in the statement of the optimal $p$ -compliance problem