Publicaciones (publications)

• Game Theory and Partial Differential Equations. Co-author: Pablo Blanc. De Gruyter Series in Nonlinear Analysis and Applications, vol. 31, (2019).

• Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets. Co-authors: José M. Mazón and J. Julián Toledo. Birkhauser. Frontiers in Mathematics, (2019).

• Nonlocal Diffusion Problems. Co-authors: Fuensanta Andreu-Vaillo, José M. Mazón and J. Julián Toledo-Melero. American Mathematical Society. Mathematical Surveys and Monographs. Vol. 165, (2010).

• Game theoretical asymptotic mean value properties for non-homogeneous p-Laplace problems. Co-author: Félix del Teso. Calculus of Variations and Partial Differential Equations, 65, issue 1, article n° 13, 44 pages, (2026).

• The limit as s ↗ 1 of the fractional convex envelope. Co-authors: Begoña Barrios,  Leandro M. Del Pezzo and Alexander Quaas. Annali di Matematica Pura ed Applicata, 204, issue 3, 1147–1160, (2025).

• Games for the two membranes problem. Co-author: Alfredo Miranda. Orbita Mathematicae, 1, no. 1, 59–101, (2024).

• Asymptotic C1,γ-regularity for value functions to uniformly elliptic dynamic programming principles. Co-authors: Pablo Blanc and Mikko Parviainen. Mathematische Annalen, 387, 1249–1270, (2023).

• Fractional convexity. Co-authors: Leandro M. Del Pezzo and Alexander Quaas. Mathematische Annalen, 383, 1687–1719, (2022).

• A nonlinear mean value property for Monge-Ampère. Co-authors: Pablo Blanc, Fernando Charro and Juan J. Manfredi. Journal of Convex Analysis. JOCA, 28(2), 353–386, (2021).

• Coupling local and nonlocal evolution equations. Co-authors: Alejandro Gárriz and Fernando Quirós. Calculus of Variations and Partial Differential Equations, 59, art. 112, (2020).

• The limit as p → ∞ in free boundary problems with fractional p−Laplacians. Co-author: João Vitor da Silva. Transactions of the American Mathematical Society, 371(4), 2739–2769, (2019).

• An obstacle problem for nonlocal equations in perforated domains. Co-author: Marcone C. Pereira. Potential Analysis, 48, 361–373, (2018).

• Maximal operators for the p-Laplacian family. Co-authors: Pablo Blanc and Juan P. Pinasco. Pacific Journal of Mathematics, 287, no. 2, 257–295, (2017).

• Discontinuous gradient constraints and the infinity Laplacian. Co-authors: Petri Juutinen and Mikko Parviainen. International Mathematics Research Notices, 2016, issue 8, 2451–2492, (2016). 

• Optimal mass transport on metric graphs. Co-authors:  J. M. Mazón and J. Toledo. SIAM Journal on Optimization, 25, issue 3, 1609–1632, (2015).

• An optimal transportation problem with a cost given by the Euclidean distance plus import/export taxes on the boundary. Co-authors: J. M. Mazón and J. Toledo. Revista Matemática Iberoamericana, 30, no. 1, 277–308, (2014).

• On the definition and properties of p-harmonious functions. Co-authors: J. J. Manfredi and M. Parviainen. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, serie 5, vol. 11, no. 2, pp. 215-241, (2012).

• A limiting free boundary problem ruled by Aronsson’s equation. Co-author: E. V. Teixeira. Transactions of the American Mathematical Society, 364(2), 703–719, (2012).

• Numerical approximations for a nonlocal evolution equation. Co-author: M. Pérez-Llanos. SIAM Journal on Numerical Analysis, 49, issue 5, 2103–2123, (2011).

• The limit as p → ∞ in a nonlocal p−Laplacian evolution equation. A nonlocal approximation of a model for sandpiles. Co-authors: F. Andreu, J. M. Mazón and J. Toledo. Calculus of Variations and Partial Differential Equations, 35, issue 3, 279–316, (2009).

• How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems. Co-authors: Carmen Cortazar, Manuel Elgueta and Noemi Wolanski. Archive for Rational Mechanics and Analysis, 187, issue 1, 137–156, (2008).

• A nonlocal convection-diffusion equation. Co-author: Liviu I. Ignat. Journal of Functional Analysis, 251, issue 2, 399-437, (2007).

• Asymptotic behavior for nonlocal diffusion equations. Co-authors: Emmanuel Chasseigne and Manuela Chaves. Journal des Mathématiques Pures et Appliquées, 86, issue 3, 271-291, (2006).

• Regularity of the free boundary in an optimization problem related to the best Sobolev trace constant. Co-authors: J. Fernandez Bonder and N. Wolanski. SIAM Journal on Control and Optimization, 44(5), 1614–1635, (2005).

• Symmetry properties for the extremals of the Sobolev trace embedding. Co-authors: J. Fernandez Bonder and E. Lami Dozo. Annales de l’Institut Henri Poincaré, C. Analyse non linéaire, 21, no. 6, 795–805, (2004).

• A convex-concave problem with a nonlinear boundary condition. Co-authors: J. Garcia Azorero and I. Peral. Journal of Differential Equations, 198, issue 1, 91-128, (2004).

• Thermal avalanche for blow-up solutions of semilinear heat equations. Co-authors: F. Quiros and J. L. Vazquez. Communications on Pure and Applied Mathematics, 57, issue 1, 59-98, (2004).

• Blow-up results and localization of blow-up points in an n-dimensional smooth domain. Co-author: D. F. Rial. Duke Mathematical Journal, 88 (2), 391–405, (1997).