The Neumann problem for the ∞∞-Laplacian and the Monge–Kantorovich mass transfer problem
By J. García-Azorero, Juan J. Manfredi, I. Peral, Julio D. Rossi. 2007
61 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/16e161621c3405b2329babbe26b40ca16dd29c06
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In Applied Mathematics
- Fernando Charro
- J. García Azorero
- Julio D. Rossi
- Jorge García-Melián
- Mayte Pérez-Llanos
- Wenxian Shen
In Geometry and Topology
Citations in the corpus
- A mixed problem for the infinity Laplacian via Tug-of-War games (2007, background): “ueness (existence follows easily by taking the limit as p → ∞ in the mixed boundary value problem problem for the p−laplacian). Remark 4. Corollary 3 allows to improve the convergence result given in [11] for solutions to the Neumann problem for the p−laplacian as p → ∞. The uniqueness of the limit ”
- An asymptotic mean value characterization for p-harmonic functions (2010, unknown): “The infinity Laplacian appears naturally when one considers limits as p → ∞ of p−harmonic functions in the viscosity sense and has applications to best Lipschitz extensions, image processing and mass transport problems, see [2], [3], [4], [7], [8], [9].”