Source-pinned research
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This index contains 2,569 curated research declarations and 119,070 complete package declarations. Search 10,000 more complete Mathlib declarations.
Showing 775 to 780 of 2,569 results.
DeGiorgi.HasWeakPartialDeriv.mul_smooth
Mathematical statement
Product rule for weak derivatives against a smooth scalar factor.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.HasWeakPartialDeriv.of_contDiff
Mathematical statement
Classical C¹ derivatives give weak derivatives on open sets.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.HasWeakPartialDeriv.of_eLpNormApprox_p
Mathematical statement
L^p-closure of weak partial derivatives on an open set, for 1 < p < ∞.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.indicator_bmo_bound
Mathematical statement
On balls staying inside Metric.ball x₀ r, the zero extension agrees with u.
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.indicator_component_memLp
Mathematical statement
Truncating an L² function by the positivity set of an a.e.-measurable scalar function preserves L².
Source project: DeGiorgi
Person-level attribution pending.
DeGiorgi.integrable_bilinFormIntegrandOfCoeff
Mathematical statement
The bilinear-form integrand is integrable on Ω.
Source project: DeGiorgi
Person-level attribution pending.