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 13 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.29.0-rc6

Divergence RHSOf Field add

DeGiorgi.divergenceRHSOfField_add

Plain-language statement

The divergence-form RHS is additive in the test slot.

partial differential equationsregularity theoryanalysis

Source project: DeGiorgi

Person-level attribution pending.

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Project-declaredLean 4.29.0-rc6

Divergence RHSOf Field bound

DeGiorgi.divergenceRHSOfField_bound

Plain-language statement

The divergence-form RHS is bounded 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 Problem RHSOf Field eq of mem H01

DeGiorgi.weakProblemRHSOfField_eq_of_memH01

Plain-language 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

Plain-language 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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