Why are the solutions to overdetermined problems usually ``as symmetric as possible?

DOI10.1007/s12220-023-01467-8arXiv2203.12950OpenAlexW4388792334MaRDI QIDQ6143866

Lorenzo Cavallina

Publication date: 5 January 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.12950

zbMATH Keywords

symmetryfree boundary problemimplicit function theoremoptimization problemshape derivativesoverdetermined problem

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) PDEs in connection with control and optimization (35Q93) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

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