Uniqueness of the Faber–Krahn Position of Convex Bodies
Statement
A convex body is in Faber-Krahn position if it minimizes the first Dirichlet eigenvalue within its volume-preserving linear orbit. The paper proves this position is unique up to orthogonal transformations, answering a question of Schmuckenschläger from 2011, via a new log-convexity property of the first eigenvalue under positive definite linear deformations.
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No person has examined this. Nothing here has been checked at all. say whether it holds →
proof attempt · #1
Dmitry Faifman and Iosif Polterovich, using ChatGPTThat credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.
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