Source-pinned research
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 187 research declarations. Search 10,000 more complete Mathlib declarations.
187 results
Clear filtersDeGiorgi.weakProblem_exists_of_divergenceData
Plain-language statement
Existence of zero-Dirichlet weak solutions for divergence-form right-hand side data div F.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.weakProblem_unique
Plain-language statement
Zero-boundary weak solutions are unique up to a.e. equality.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.weakProblemRHSOfField_eq_of_memH01
Plain-language statement
On H₀¹(Ω), the raw-function RHS agrees with the witness-dependent divergence-form functional.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.weakProblemRHSOfFieldAndDatum_bound
Plain-language statement
The shifted raw RHS is bounded on H₀¹(Ω) with respect to the L² gradient seminorm.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.weakProblemRHSOfFieldAndDatum_eq_of_memH01
Plain-language statement
On H₀¹(Ω), the shifted raw RHS agrees with the natural lifted functional.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.weakSolution_stability
Plain-language statement
Stability estimate for weak solutions.
Source project: DeGiorgi
Person-level attribution pending.