Preprint

Inserted: 22 oct 2026
Last Updated: 22 oct 2026

Year: 2026

Abstract:

We study the second shape derivative of an optimal design functional involving a nonlocal term in order to prove rigidity of the ball. Our approach relies on a continuity argument that relates the second variation to that of the corresponding local problem. The model serves as a prototype for a broader class of shape optimization problems to which the same strategy may be adapted.

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