Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Games associated with products of eigenvalues of the Hessian

Pablo Blanc, Fernando Charro, Juan J. Manfredi and Julio D. Rossi
Mathematics in Engineering 5 (3) 1 (2023)
https://doi.org/10.3934/mine.2023066

Evolution driven by the infinity fractional Laplacian

Félix del Teso, Jørgen Endal, Espen R. Jakobsen and Juan Luis Vázquez
Calculus of Variations and Partial Differential Equations 62 (4) (2023)
https://doi.org/10.1007/s00526-023-02475-w

Regularity for quasi-linear parabolic equations with nonhomogeneous degeneracy or singularity

Yuzhou Fang and Chao Zhang
Calculus of Variations and Partial Differential Equations 62 (1) (2023)
https://doi.org/10.1007/s00526-022-02360-y

Tug of War games and PDEs on graphs with applications in image and high dimensional data processing

Hamza Ennaji, Yvain Quéau and Abderrahim Elmoataz
Scientific Reports 13 (1) (2023)
https://doi.org/10.1038/s41598-023-32354-5

On asymptotic behavior for a class of diffusion equations involving the fractional $$\wp (\cdot )$$-Laplacian as $$\wp (\cdot )$$ goes to $$\infty $$

Lauren M. M. Bonaldo and Elard J. Hurtado
Revista Matemática Complutense 36 (1) 221 (2023)
https://doi.org/10.1007/s13163-021-00419-6

The eigenvalue problem for a class of degenerate operators related to the normalized $ p $-Laplacian

Fang Liu
Discrete & Continuous Dynamical Systems - B 27 (5) 2701 (2022)
https://doi.org/10.3934/dcdsb.2021155

A game theoretical approximation for a parabolic/elliptic system with different operators

Alfredo Miranda and Julio D. Rossi
Discrete & Continuous Dynamical Systems (2022)
https://doi.org/10.3934/dcds.2022034

Three Representations of the Fractional p-Laplacian: Semigroup, Extension and Balakrishnan Formulas

Félix del Teso, David Gómez-Castro and Juan Luis Vázquez
Fractional Calculus and Applied Analysis 24 (4) 966 (2021)
https://doi.org/10.1515/fca-2021-0042

A game theoretical approach for a nonlinear system driven by elliptic operators

Alfredo Miranda and Julio D. Rossi
SN Partial Differential Equations and Applications 1 (4) (2020)
https://doi.org/10.1007/s42985-020-00014-2

The evolution problem associated with eigenvalues of the Hessian

Pablo Blanc, Carlos Esteve and Julio D. Rossi
Journal of the London Mathematical Society 102 (3) 1293 (2020)
https://doi.org/10.1112/jlms.12363

Parabolic Biased Infinity Laplacian Equation Related to the Biased Tug-of-War

Fang Liu and Feida Jiang
Advanced Nonlinear Studies 19 (1) 89 (2019)
https://doi.org/10.1515/ans-2018-2019

Nonlocal PDEs on Graphs: From Tug-of-War Games to Unified Interpolation on Images and Point Clouds

Abderrahim Elmoataz, François Lozes and Matthieu Toutain
Journal of Mathematical Imaging and Vision 57 (3) 381 (2017)
https://doi.org/10.1007/s10851-016-0683-3

Hölder gradient estimates for a class of singular or degenerate parabolic equations

Cyril Imbert, Tianling Jin and Luis Silvestre
Advances in Nonlinear Analysis 8 (1) 845 (2017)
https://doi.org/10.1515/anona-2016-0197

On the game p-Laplacian on weighted graphs with applications in image processing and data clustering

A. ELMOATAZ, X. DESQUESNES and M. TOUTAIN
European Journal of Applied Mathematics 28 (6) 922 (2017)
https://doi.org/10.1017/S0956792517000122

On the $p$-Laplacian and $\infty$-Laplacian on Graphs with Applications in Image and Data Processing

Abderrahim Elmoataz, Matthieu Toutain and Daniel Tenbrinck
SIAM Journal on Imaging Sciences 8 (4) 2412 (2015)
https://doi.org/10.1137/15M1022793

The unique continuation property for a nonlinear equation on trees

Leandro M. Del Pezzo, Carolina A. Mosquera and Julio D. Rossi
Journal of the London Mathematical Society 89 (2) 364 (2014)
https://doi.org/10.1112/jlms/jdt067

Nonlocal infinity Laplacian equation on graphs with applications in image processing and machine learning

Elmoataz Abderrahim, Desquesnes Xavier, Lakhdari Zakaria and Lézoray Olivier
Mathematics and Computers in Simulation 102 153 (2014)
https://doi.org/10.1016/j.matcom.2014.01.007

An obstacle problem for Tug-of-War games

Stephanie J. Somersille, Julio D. Rossi and Juan Manfredi
Communications on Pure and Applied Analysis 14 (1) 217 (2014)
https://doi.org/10.3934/cpaa.2015.14.217

Tug-of-war games and the infinity Laplacian with spatial dependence

Julio D. Rossi and Ivana Gómez
Communications on Pure and Applied Analysis 12 (5) 1959 (2013)
https://doi.org/10.3934/cpaa.2013.12.1959

The infinity Laplacian with a transport term

Rafael López-Soriano, José C. Navarro-Climent and Julio D. Rossi
Journal of Mathematical Analysis and Applications 398 (2) 752 (2013)
https://doi.org/10.1016/j.jmaa.2012.09.030

On the best Lipschitz extension problem for a discrete distance and the discrete ∞-Laplacian

J.M. Mazón, J.D. Rossi and J. Toledo
Journal de Mathématiques Pures et Appliquées 97 (2) 98 (2012)
https://doi.org/10.1016/j.matpur.2011.09.003

Non-Local Morphological PDEs and $p$-Laplacian Equation on Graphs With Applications in Image Processing and Machine Learning

A. Elmoataz, X. Desquesnes and O. Lezoray
IEEE Journal of Selected Topics in Signal Processing 6 (7) 764 (2012)
https://doi.org/10.1109/JSTSP.2012.2216504