A Hölder infinity Laplacian
By Antonin Chambolle, Erik Lindgren, Régis Monneau. 2012
55 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/8275b9ccc2b02d70a62ab0f21f6326e974d9ba0c
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
- Giampiero Palatucci
- Tuomo Kuusi
- Erik Lindgren
- Janne Korvenpää
- Juan Luis V'azquez
- Giuseppe Mingione
- Cristiana De Filippis
- Lorenzo Brasco
In Computational Theory and Mathematics
- Giampiero Palatucci
- Tuomo Kuusi
- Erik Lindgren
- Janne Korvenpää
- Juan Luis V'azquez
- Giuseppe Mingione
- Cristiana De Filippis
- Lorenzo Brasco
Citations in the corpus
- The Dirichlet Problem for the fractional p-Laplacian evolution equation (2015, background): “out that some references introduce the concept of viscosity solutions, like [27, 36, 39, 41], but we will not need this concept here.”
- Fractional p-Laplacian evolution equations (2016, unknown): “Monneau in [16].”
- Local behavior of fractional $p$-minimizers (2015, unknown): “Secondly, the analysis in the papers [3] and [18] considers the special case when p is suitably large - thus falling in the Morrey embedding case when concerning regularity.”
- Equivalence of solutions to fractional p-Laplace type equations (2016, methodology): “In [4], weak solutions of the equation are studied, mostly for p large, in connection with optimal Hölder extensions.”
- Hölder estimates for viscosity solutions of equations of fractional p-Laplace type (2014, unknown): “Similar equations were also studied in [7], where the focus lies in the asymptotic behavior as p → ∞.”
- Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations (2016, background): “It is worth citing the higher regularity contributions in [2,9], together with the viscosity approach in the recent paper [27], and [4] for related existence and uniqueness results in the case when p goes to infinity.”