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math.OC2023
Fuglede-type arguments for isoperimetric problems and applications to stability among convex shapes
Raphaël Prunier
This paper is concerned with stability of the ball for a class of isoperimetric problems under convexity constraint. Considering the problem of minimizing among c…
math.OC2022
Regularity in shape optimization under convexity constraint
Jimmy Lamboley, Raphaël Prunier
This paper is concerned with the regularity of shape optimizers of a class of isoperimetric problems under convexity constraint. We prove that minimizers of the sum of the perimete…