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Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

This index contains 2,569 curated research declarations and 119,070 complete package declarations. Search 10,000 more complete Mathlib declarations.

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Showing 787 to 792 of 2,569 results.

Project-declaredLean 4.29.0-rc6

John nirenberg iteration

DeGiorgi.john_nirenberg_iteration

Mathematical statement

Iteration of level-set decay to exponential decay.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

John nirenberg iteration decay iterate

DeGiorgi.john_nirenberg_iteration_decay_iterate

Mathematical statement

Iterating one-step level-set decay gives a geometric bound.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

John nirenberg iteration rpow bound

DeGiorgi.john_nirenberg_iteration_rpow_bound

Mathematical statement

Exponential domination for the discrete John-Nirenberg iteration.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

John nirenberg level set decay

DeGiorgi.john_nirenberg_level_set_decay

Mathematical statement

Geometric decay of selected John-Nirenberg bad-ball unions from the local half-measure step.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Le ess Inf half Ball of ae bound

DeGiorgi.le_essInf_halfBall_of_ae_bound

Mathematical statement

An a.e. lower bound on the half ball upgrades to an essential-infimum bound on the half ball.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Level set family from base

DeGiorgi.level_set_family_from_base

Project documentation

A set-family John-Nirenberg tail decay theorem from a base-level one-step decay hypothesis. This is the reusable set-family analogue of john_nirenberg_from_base. It iterates one-step decay starting from the base level A for an arbitrary antitone measurable family E_lam, and is useful when the Calderon-Zygmund / stopping-time work has already been pa...

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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