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OP-6811SolvedAnalysis

The sharp Dirichlet Poincare constant with two moment constraints

TheoremDB P2516 · real analysis

Source catalogue assessmentAs of 2026-09-08Source & evidence ↓
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Problem statement

Let λ∗\lambda_* be the infimum of ∫01∣f′(x)∣2 dx/∫01∣f(x)∣2 dx\int_0^1|f'(x)|^2\,dx/\int_0^1|f(x)|^2\,dx over nonzero f∈H01(0,1)f\in H_0^1(0,1) satisfying ∫01f(x) dx=∫01xf(x) dx=0\int_0^1 f(x)\,dx=\int_0^1 x f(x)\,dx=0. Determine λ∗\lambda_* with a rigorous interval of width at most 10−810^{-8}.

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Progress & source assessment

Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.

Resolved. Not Lean-verified

References
  1. [1]TheoremDB P2516 link

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