Delphi.science

A formal proof of an affine reverse Faber-Krahn inequality

Matthew J. Colbrook, George Stepaniants

Palomar Registrypalomar/PALOMAR-2026-11-01-000009Nov 1, 2026math.SPscore 0

The three principal manuscript results M01, M02 and M03, with their original domains and quantifier order. M01: one finite C>0 before every n>0 and compact convex Euclidean body K with nonempty interior; there exists a literal real special-linear matrix S with finite actual H0 Rayleigh infimum on interior(S K) and lambda_1(interior(S K))*volume(K)^(2/n) 0 before every n>0 and origin-symmetric compact convex volume-one K with nonempty interior in maximal Gaussian measure position; its actual H0 Rayleigh infimum is at most C*n. M03: for each real P>=2 one finite C(P)>0 precedes every n>0,…

SourceRepositoryJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/palomar/PALOMAR-2026-11-01-000009
curl -X POST /api/v1/records/palomar/PALOMAR-2026-11-01-000009/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-11-01-000009/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'