Sharp summability for Monge Transport density via Interpolation

By L. De Pascale, A. Pratelli. 2004

49 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f65c20b77a01b925d7b02effe1e682ba1e49895c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Filippo Santambrogio
2. Thierry Champion
3. L. De Pascale
4. Alessio Figalli
5. Pratik Chaudhari
6. Stefano Soatto

In Geometry and Topology

1. Filippo Santambrogio
2. Thierry Champion
3. L. De Pascale
4. Pratik Chaudhari
5. Stefano Soatto

Citations in the corpus

• The Monge problem for strictly convex norms in Rd (2010, background): “The transport density plays a crucial role in the proof of existence given in [17], and good estimates from above are available for σγ [1, 15, 14, 16].”
• Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling (2015, result): “The proofs are essentially taken from [273]: previous results, through very different techniques, were first presented in [144, 146, 145].”