On a shape derivative formula for star-shaped domains using Minkowski deformation

On a shape derivative formula for star-shaped domains using Minkowski deformation

We consider the shape derivative formula for a volume cost functional studied in previous papers where we used the Minkowski deformation and support functions in the convex setting. In this work, we extend it to some non-convex domains, namely the star-shaped ones. The formula happens to be also an...

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Bibliographic Details
Main Authors: Abdesslam Boulkhemair, Abdelkrim Chakib, Azeddine Sadik
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:AIMS Mathematics
Subjects:
shape derivative
volume functional
convex domain
star-shaped domain
support function
gauge function
minkowski deformation
shape optimization
brunn-minkowski theory
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231008?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231008?viewType=HTML

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