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

Autor: Bulanyi, Bohdan
Rok vydání: 2021
Předmět:
Zdroj: J. Math. Anal. Appl. 499 (2021) 125064
Druh dokumentu: Working Paper
DOI: 10.1016/j.jmaa.2021.125064
Popis: 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.
Comment: 9 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2101.04231
Databáze: arXiv