Hardy-Littlewood-Sobolev inequalities via fast diffusion flows.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 21041663.
- Also identified by DOI 10.1073/pnas.1008323107 and PMC identifier 2993356.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
We give a simple proof of the λ = d - 2 cases of the sharp Hardy-Littlewood-Sobolev inequality for d≥3, and the sharp Logarithmic Hardy-Littlewood-Sobolev inequality for d = 2 via a monotone flow governed by the fast diffusion equation.