L. De Pascale

Applied Mathematics · 2001–2015

A researcher in the Science corpus: 10 papers; trusts 16 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 38 citations into it; #1,113 of 7,620 by trust here, #1,574 by citations
• Geometry and Topology — 20 citations into it; #2,633 of 7,422 by trust here, #2,107 by citations
• Computational Theory and Mathematics — 10 citations into it; #2,567 of 12,182 by trust here, #6,798 by citations
• Mathematical Physics — 7 citations into it; #6,744 of 8,562 by trust here, #6,178 by citations

Whom L. De Pascale trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Mikhail Feldman
2. A. Pratelli
3. Luigi Ambrosio
4. Robert J. McCann
5. Giuseppe M. Buttazzo
6. M. Crandall
7. Lawrence C. Evans
8. Cédric Villani
9. Jean-David Benamou
10. Luis Caffarelli

Who trusts L. De Pascale overall

1. Filippo Santambrogio
2. Alessio Figalli
3. A. Pratelli
4. Giovanni S. Alberti
5. Jean Bourgain
6. Thierry Champion
7. Brendan Pass
8. Stefano Bianchini
9. Luigi Ambrosio
10. M. Korobkov

Papers from L. De Pascale's perspective

Ordered by how strongly the researchers L. De Pascale trusts endorse each paper. Same corpus, a different order for every researcher.

1. Uniqueness and transport density in Monge's mass transportation problem
2. Existence of optimal transport maps for crystalline norms
3. Mass transportation problems
4. Existence and stability results in the L 1 theory of optimal transportation
5. Integral Estimates for Transport Densities
6. On a Problem of Monge
7. Optimal Lipschitz extensions and the infinity laplacian
8. Optimal transportation on non-compact manifolds
9. Regularity properties for Monge transport density and for solutions of some shape optimization problem
10. Characterization of optimal shapes and masses through Monge-Kantorovich equation

Their papers

• Integral Estimates for Transport Densities (2004) — 60 citations
• The Morse-Sard Theorem in Sobolev spaces (2001) — 57 citations
• Multimarginal Optimal Transport Maps for One–dimensional Repulsive Costs (2015) — 110 citations
• Optimal-transport formulation of electronic density-functional theory (2012) — 172 citations
• The Monge problem in ${\mathbb R}^d$ (2011) — 62 citations
• The Monge problem for strictly convex norms in Rd (2010) — 56 citations
• Principles of comparison with distance functions for absolute minimizers (2007) — 57 citations
• Asymptotic behaviour of nonlinear eigenvalue problems involving $p$-Laplacian-type operators (2007) — 47 citations
• Sharp summability for Monge Transport density via Interpolation (2004) — 49 citations
• Regularity properties for Monge transport density and for solutions of some shape optimization problem (2002) — 70 citations