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Referencias:

• Adams, R.A., Fournier, J.F., (2008), Sobolev Spaces. Elsevier, Amsterdam; Aronsson, G., Extension of functions satisfying Lipschitz conditions (1967) Ark. Mat, 6, pp. 551-561
• Aronsson, G., Crandall, M.G., Juutinen, P., A tour of the theory of absolutely minimizing functions (2004) Bull. Am. Math. Soc, 41, pp. 439-505
• Barles, G., Imbert, C., Second-order elliptic integro-differential equations: Viscosity solutions theory revisited (2008) Ann. Inst. H. Poincar Anal. Non Linèaire, 25 (3), p. 567585
• Bhattacharya, T., Dibenedetto, E., Manfredi, J., Limits as p → ∞ and related extremal problems (1991) Rend. Sem. Mat. Univ. Politec, p. 1568
• Bjorland, C., Caffarelli, L., Figalli, A., Nonlocal tug-of-war and the infinity fractional Laplacian (2012) Commun. Pure Appl. Math, 65, pp. 337-380
• Bourgain, J., Brezis, H., Mironescu, P., Limiting embedding theorems for Ws,p and application (2002) J. Anal. Math, 87, p. 77101
• Chambolle, A., Lindgren, E., Monneau, R., A Hölder Infinity Laplacian (2012) ESAIM Control Optim. Calc. Var, 18 (3), pp. 799-835
• Crandall, M.G., Ishii, H., Lions, P.L., User’s guide to viscosity solutions of second order partial differential equations (1992) Bull. Am. Math. Soc, 27, pp. 1-67
• Charro, F., Peral, I., Limit Branch os solution as p →∞-Laplacian (2007) Commun. Partial Differ. Equ, 32 (1012), pp. 1965-1981
• Di Nezza, E., Palatucci, G., Valdinoci, E., Hitchhikers guide to the fractional Sobolev spaces (2012) Bull. Sci. Math, 136 (5), pp. 521-573
• Giusti, E., (2003) Direct Methods in the Calculus of Variations, , World Scientific Publishing, Singapore
• Haroske, D.D., Triebel, H., (2008) Distributions, Sobolev Spaces, Elliptic Equations, , EMS Textbooks in Mathematics. European Mathematical Society (EMS), Zürich
• Jensen, R., Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient (1993) Arch. Ration. Mech. Anal, 123, pp. 51-74
• Ishii, H., Nakamura, G., A class of integral equations and approximation of p-Laplace equations (2010) Calc. Var. Partial Differ. Equ, 37 (34), pp. 485-522
• Jylhä, H., Optimal transportation problem related to the limits of solutions of local and nonlocal p-Laplace-type problems (2015) Rev. Mat. Complut, 28 (1), pp. 49-83
• Juutinen, P., (1996) Minimization Problems for Lipschitz Functions via Viscosity Solutions, pp. 1-39
• Juutinen, P., Lindqvist, P., Manfredi, J.J., The ∞-eigenvalue problem (1999) Arch. Ration. Mech. Anal, 148, pp. 89-105
• Juutinen, P., Lindqvist, P., Manfredi, J.J., On the equivalence of viscosity solutions and weak solutions for a quasilinear equation (2001) SIAM J. Math. Anal, 33 (3), pp. 699-717
• Juutinen, P., Parviainen, M., Rossi, J.D., (2015) Discontinuous Gradient Constraints and the Infinity Laplacian, , Int. Math. Res. Not
• Lindgren, E., Lindqvist, P., Fractional eigenvalues (2014) Calc. Var. Partial Differ. Equ, 49 (12), pp. 795-826
• McShane, E.J., Extension of range of functions (1934) Bull. Am. Math. Soc, 40 (12), pp. 837-842
• Maz’Ya, V., Shaposhnikova, T., On the Bougain, Brezis and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces (2002) J. Funct. Anal, 195 (2), pp. 230-238
• Pérez-Llanos, M., Anisotropic variable exponent (P(·).q(·))-Laplacian with large exponents (2013) Adv. Nonlinear Stud, 13 (4), pp. 1003-1034
• Pérez-Llanos, M., Rossi, J.D., Limits as p(X) → ∞-harmonic functions with non-homogeneous Neumann boundary conditions (2011) Nonlinear Elliptic Partial Differential Equations, Contemporary Mathematics, 540, pp. 187-201. , American Mathematical Society, Providence
• Whitney, H., Analytic extensions of differentiable functions defined in closed sets (1934) Trans. Am. Math. Soc, 36 (1), pp. 63-89

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