Julian Toledo's Home Page

Publications


    \(\blacksquare\) On the best Lipschitz extension problem for a discrete distance and the discrete infinity-Laplacian. (click)
        J. Math. Pures Appl. 97 (2012) 98–119, doi: 10.1016/j.matpur.2011.09.003
        J. M. Mazón, J. D. Rossi, and J. Toledo

        \(\blacksquare\) A Monge-Kantorovich mass transport problem for a discrete distance. (click)
        J. Funct. Anal. 260 (2011), 3494–3534, doi:10.1016/j.jfa.2011.02.023
        N. Igbida, J. M. Mazón, J. Rossi and J. Toledo

        \(\blacksquare\) Local and nonlocal weighted \(p\)-laplacian evolution equations with Neumann boundary conditions. (click)
        Publ. Mat. 55 (2011), 27-66.
        F. Andreu, J. M. Mazón, J. D. Rossi, and J. Toledo

        \(\blacksquare\) Nonlocal Diffusion Problems (click)

        Mathematical Surveys and Monographs, vol. 165. AMS, 2010.
        Fuensanta Andreu-Vaillo, José M. Mazón, Julio D. Rossi, and J. Julián Toledo-Melero

       \(\blacksquare\) On Nonlinear Nonlocal Diffusion Problems.
        International Jorunal of Biomathematics and Biostatistics 1 (2010), no. 3, 191-202.
        J. M. Mazón, J. D. Rossi and J. Toledo

        \(\blacksquare\) Degenerate Elliptic Equations with Nonlinear Boundary Conditions.
        Chapter in On the notions of solution to nonlinear elliptic problems: results and developments.
        Quaderni di matematica, vol. 23 (2009). Edited by A. Alvino, A. Mercaldo, F. Murat and I. Peral.
        F. Andreu, N. Igbida, J. M. Mazón and J. Toledo

        \(\blacksquare\) Degenerate elliptic equations with nonlinear boundary conditions and measures data. (click)
        Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 8 (2009), no. 4, 767–803.
        Andreu, Fuensanta; Igbida, Noureddine; Mazón, José M.; Toledo, Julián

        \(\blacksquare\) The limit as \(p\to ∞\) in a nonlocal \(p\)-Laplacian evolution equation: a nonlocal approximation of a model for sandpiles. (click)
        Calc. Var. Partial Differential Equations 35 (2009), no. 3, 279–316.
        Andreu, F.; Mazón, J. M.; Rossi, J. D.; Toledo, J.

       \(\blacksquare\) A nonlocal \(p\)-Laplacian evolution equation with nonhomogeneous Dirichlet boundary conditions. (click)
        SIAM J. Math. Anal. 40 (2008/09), no. 5, 1815–1851.
        Andreu, F.; Mazón, J. M.; Rossi, J. D.; Toledo, J.

       \(\blacksquare\) Obstacle problems for degenerate elliptic equations with nonhomogeneous nonlinear boundary conditions. (click)
        Math. Models Methods Appl. Sci. 18 (2008), no. 11, 1869–1893.
        Andreu, Fuensanta; Igbida, Noureddine; Mazón, José M.; Toledo, Julián

       \(\blacksquare\) A nonlocal \(p\)-Laplacian evolution equation with Neumann boundary conditions. (click)
        J. Math. Pures Appl. (9) 90(2008), no. 2, 201–227.
        Andreu, F.; Mazón, J. M.; Rossi, J. D.; Toledo, J.

        \(\blacksquare\) Renormalized solutions for degenerate elliptic-parabolic problems with nonlinear dynamical boundary conditions and \(L^1\)-data (click)
        J. Differential Equations 244 (2008), no. 11, 2764–2803.
        Andreu, F.; Igbida, N.; Mazón, J. M.; Toledo, J.

        \(\blacksquare\) The Neumann problem for nonlocal nonlinear diffusion equations. (click)
        J. Evol. Equ. 8 (2008), no. 1,189–215.
        Andreu, Fuensanta; Mazón, José M.; Rossi, Julio D.; Toledo, Julián

        \(\blacksquare\) Existence and uniqueness results for quasi-linear elliptic and parabolic equations with nonlinear boundary conditions.
        Free boundary problems, 11–21, Internat. Ser. Numer. Math., 154, Birkhäuser, Basel,2007.
        Andreu, F.; Igbida, N.; Mazón, J. M.; Toledo, J.

        \(\blacksquare\) \(L^1\) existence and uniqueness results for quasi-linear elliptic equations with nonlinear boundary conditions. (click)
        Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007), no. 1, 61–89.
        Andreu, F.; Igbida, N.; Mazón, J. M.; Toledo, J.

        \(\blacksquare\) Quasi-linear elliptic problems in \(L^1\) with non homogeneous boundary conditions. (click)
        Rend. Mat. Appl. (7) 26 (2006), no. 3-4, 291–314.
        Ammar, K.; Andreu, F.; Toledo, J.

        \(\blacksquare\) A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions. (click)
        Interfaces Free Bound. 8 (2006),no. 4, 447–479.
        Andreu, F.; Mazón, J. M.; Toledo, J.; Igbida, N.

        \(\blacksquare\) Quasi-linear diffusion equations with gradient terms and \(L^1\) data. (click)
        Nonlinear Anal. 56 (2004), no. 8, 1175–1209.
        Andreu, F.; Segura de León, S.; Toledo, J.

        \(\blacksquare\) Blow-up for a class of nonlinear parabolic problems. (click)
        Asymptot. Anal. 29 (2002), no. 2, 143–155.
        Andreu, F.; Mazón, J. M.; Simondon, F.; Toledo, J.

        \(\blacksquare\) Porous medium equation with absorption and a nonlinear boundary condition. (click)
        Nonlinear Anal. 49 (2002), no. 4, Ser. A: Theory Methods, 541–563
        Andreu, F.; Mazón, J. M.; Toledo, J.; Rossi, J. D.

        \(\blacksquare\) Regularity for entropy solutions of parabolic \(p\)-Laplacian type equations. (click)
        Publ. Mat. 43 (1999), no. 2, 665–683.
        Segura de León, S.; Toledo, J.

        \(\blacksquare\) Global existence for a degenerate nonlinear diffusion problem with nonlinear gradient term and source. (click)
        Math. Ann.314 (1999), no. 4, 703–728.
        Andreu, F.; Mazón, J. M.; Simondon, F.; Toledo, J.

        \(\blacksquare\) Existence and uniqueness for a degenerate parabolic equation with \(L^1\)-data. (click)
        Trans. Amer. Math. Soc. 351 (1999),no. 1, 285–306.
         Andreu, F.; Mazón, J. M.; Segura de León, S.; Toledo, J.

        \(\blacksquare\) Asymptotic behaviour of solutions of quasi-linear parabolic equations with nonlinear flux. (click)
        Comput. Appl. Math. 17 (1998),no. 2, 201–215.
        Andreu, F.; Mazón, J. M.; Toledo, J.

        \(\blacksquare\) Attractor for a degenerate nonlinear diffusion problem with nonlinear boundary condition. (click)
        J. Dynam. Differential Equations 10 (1998), no. 3, 347–377.
        Andreu, F.; Mazón, J. M.; Simondon, F.; Toledo, J.

        \(\blacksquare\) Attractor for a degenerate nonlinear parabolic equation with a nonlinear flux.
        Proceedings of the IV Catalan Days of Applied Mathematics (Tarragona, 1998), 1–7, Univ. Rovira Virgili, Tarragona, 1998.
        Andreu, F.; Mazon, J. M.; Toledo, J.; Simondon, F.

        \(\blacksquare\) Quasi-linear elliptic and parabolic equations in \(L^1\) with nonlinear boundary conditions. (click)
        Adv. Math. Sci. Appl. 7(1997), no. 1, 183–213.
        Andreu, F.; Mazón, J. M.; Segura de León, S.; Toledo, J.

        \(\blacksquare\) Large-time behavior of solutions of a system of PDE's governing diffusion processes in a heterogeneous medium. (click)
        Differential Integral Equations 10 (1997), no. 1, 165–180.
        Mazón, José M.; Toledo, Julián

        \(\blacksquare\) Entropy solutions for a degenerated parabolic equation.
        Proceedings of the 3rd Catalan Days on Applied Mathematics (Lleida, 1996), 151–161, Univ. Lleida, Lleida.
        Andreu, F.; Mazon, J. M.; Segura, S.; Toledo, J.

        \(\blacksquare\) Stabilization of solutions of the filtration equation in \(\mathbb{R}^N\). (click)
        Houston J. Math. 22 (1996), no. 1, 183–198.
        Mazón, J. M.; Toledo, J.

        \(\blacksquare\) Stabilization of solutions of the filtration equation with absorption and non-linear flux. (click)
        NoDEA Nonlinear Differential Equations Appl. 2 (1995), no. 3, 267–289.
        Andreu, F.; Mazón, J. M.; Toledo, J.

        \(\blacksquare\) Asymptotic behaviour of solutions of the filtration equation in bounded domains.
        Dynam. Systems Appl. 3 (1994), no. 2, 275–295.
        Mazón, José M.; Toledo, Julián

        \(\blacksquare\) Els inicis de la matemàtica moderna.
        Chapter in ELS ORIGENS.
        Monografies de les Seccions de Ciències, 11 (1994). Universitat Catalana D’Estiu. Institut d’Estudis Catalans.
        J. Julià Toledo

A conference on Nonlocal Problems (click)