Regularity results for very degenerate elliptic equations
By Maria Colombo, Alessio Figalli. 2014
82 citations recorded by the source corpus.
In the following informal discussion, we describe the connections between some traffic models, involving in their formulation different tools such as the Lagrangian point of view, the variational minimization and some degenerate elliptic equations. We refer to the lecture notes of Santambrogio [113] for a wider presentation of the topic.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a8630192b4eb0c1b1a818a53bfc2362e609f9056
How researchers see this paper
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In Applied Mathematics
- Filippo Santambrogio
- Lorenzo Brasco
- Guillaume Carlier
- G. Peyr'e
- Marco Cuturi
- Robert J. McCann
- Brendan Pass
- Cristiana De Filippis
In Computational Theory and Mathematics
- Lorenzo Brasco
- Filippo Santambrogio
- Guillaume Carlier
- Cristiana De Filippis
- Robert J. McCann
- Giampiero Palatucci
- P. Garain
- Marco Squassina
In Mathematical Physics
- Guillaume Carlier
- Lorenzo Brasco
- Filippo Santambrogio
- G. Peyr'e
- Marco Cuturi
- Luigi Ambrosio
- Tudor Manole
- Jonathan Niles-Weed
Citations in the corpus
- On certain anisotropic elliptic equations arising in congested optimal transport: Local gradient bounds (2014, background): “We also mention the papers [12, 24] where the continuity of 0 is proved.”
- Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling (2015, background): “Interestingly, recent continuity results are also available (see [279] in dimension 2, and then [126], with a different technique in arbitrary dimension), obtained as a consequence of a fine analysis of this degenerate elliptic PDE.”