Calculus of Variations and Geometric Measure Theory
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B. Bulanyi

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

created by bulanyi on 12 Jan 2021

[BibTeX]

Submitted Paper

Inserted: 12 jan 2021
Last Updated: 12 jan 2021

Pages: 9
Year: 2021

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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