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

(2021) Journal of Mathematical Analysis and Applications — Vol. 499, n° 2, p. np (2021)

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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.
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Bulanyi, B. (2021). On the importance of the connectedness assumption in the statement of the optimal p-compliance problem. Journal of Mathematical Analysis and Applications, 499(2), np. https://doi.org/10.1016/j.jmaa.2021.125064 (Original work published 2021)