B. Bulanyi
On the importance of the connectedness assumption in the statement of the optimal $p$-compliance problem
Published Paper
Inserted: 12 jan 2021
Last Updated: 12 apr 2021
Journal: Journal of Mathematical Analysis and Applications
Volume: 499
Number: 2
Pages: 9
Year: 2021
Doi: https://doi.org/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.
Keywords: shape optimization, $p$-compliance, connectedness
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