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Source-pinned research

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 847 to 852 of 2,569 results.

Project-declaredLean 4.29.0-rc6

Weak Problem unique

DeGiorgi.weakProblem_unique

Mathematical statement

Zero-boundary weak solutions are unique up to a.e. equality.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Weak Problem RHSOf Field eq of mem H01

DeGiorgi.weakProblemRHSOfField_eq_of_memH01

Mathematical statement

On H₀¹(Ω), the raw-function RHS agrees with the witness-dependent divergence-form functional.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Weak Problem RHSOf Field And Datum bound

DeGiorgi.weakProblemRHSOfFieldAndDatum_bound

Mathematical statement

The shifted raw RHS is bounded on H₀¹(Ω) with respect to the gradient seminorm.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Weak Solution stability

DeGiorgi.weakSolution_stability

Mathematical statement

Stability estimate for weak solutions.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Weighted caccioppoli absorb

DeGiorgi.weighted_caccioppoli_absorb

Mathematical statement

Abstract absorption step for weighted Caccioppoli.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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