Lévy Processes and Stochastic Calculus, 2009. ,
Backward stochastic differential equations and integral-partial differential equations, Stochastics An International Journal of Probability and Stochastic Processes, vol.60, issue.1, pp.57-83, 1997. ,
DOI : 10.1080/17442509708834099
On Neumann type problems for nonlocal equations set in a half space, Transactions of the American Mathematical Society, vol.366, issue.9, pp.366-4873, 2014. ,
DOI : 10.1090/S0002-9947-2014-06181-3
URL : https://hal.archives-ouvertes.fr/hal-00646379
On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations, Journal of Differential Equations, vol.256, issue.4, pp.1368-1394, 2014. ,
DOI : 10.1016/j.jde.2013.11.001
URL : https://hal.archives-ouvertes.fr/hal-00793393
Second-order elliptic integro-differential equations: viscosity solutions' theory revisited, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.25, issue.3 ,
DOI : 10.1016/j.anihpc.2007.02.007
URL : https://hal.archives-ouvertes.fr/hal-00130169
The Nonlocal Porous Medium Equation: Barenblatt Profiles and Other Weak Solutions, Archive for Rational Mechanics and Analysis, vol.14, issue.2, pp.497-529, 2015. ,
DOI : 10.1007/s00205-014-0786-1
Nonlinear Diffusion of Dislocation Density and Self-Similar Solutions, Communications in Mathematical Physics, vol.16, issue.1, pp.145-168, 2010. ,
DOI : 10.1007/s00220-009-0855-8
URL : https://hal.archives-ouvertes.fr/hal-00369429
Non-local gradient dependent operators, Advances in Mathematics, vol.230, issue.4-6, 2012. ,
DOI : 10.1016/j.aim.2012.03.032
Nonlocal Tug-of-War and the Infinity Fractional Laplacian, Communications on Pure and Applied Mathematics, vol.22, issue.3, pp.337-380, 2012. ,
DOI : 10.1002/cpa.21379
Nonlinear Porous Medium Flow with Fractional Potential Pressure, Archive for Rational Mechanics and Analysis, vol.50, issue.4, pp.537-565, 2011. ,
DOI : 10.1007/s00205-011-0420-4
URL : http://arxiv.org/abs/1001.0410
Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman equations, 1997. ,
Hölder infinity Laplacian. ESAIM: Control, Optimisation and Calculus of Variations 18, 2012. ,
DOI : 10.1051/cocv/2011182
Financial modelling with jump processes, 2004. ,
DOI : 10.1201/9780203485217
URL : https://hal.archives-ouvertes.fr/hal-00002693
user's guide to viscosity solutions\\ of second order\\ partial
differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.1-67, 1992. ,
DOI : 10.1090/S0273-0979-1992-00266-5
A General Fractional Porous Medium Equation, Communications on Pure and Applied Mathematics, vol.63, issue.2, pp.1242-1284, 2012. ,
DOI : 10.1002/cpa.21408
Local behavior of fractional p-minimizers, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.33, issue.5, pp.1279-1299, 2016. ,
DOI : 10.1016/j.anihpc.2015.04.003
Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type, Adv. Math, vol.305, pp.78-143, 2017. ,
Partial Differential Equations, Gratudate studies in Mathematics, vol.19, 2010. ,
Elliptic partial differential equations of second order. Reprint of the 1998 edition, Classics in Mathematics, 2001. ,
Dislocation group dynamics III. similarity solutions of the continuum approximation, Philosophical Magazine, vol.24, issue.1, pp.65-72, 1972. ,
DOI : 10.1080/14786437208221020
/??)-Periodic Hamiltonians Part II: Application to Dislocations Dynamics, Communications in Partial Differential Equations, vol.20, issue.3, pp.479-516, 2008. ,
DOI : 10.1209/epl/i2003-10175-2
A class of integral equations and approximation of p-Laplace equations, Calculus of Variations and Partial Differential Equations, vol.51, issue.1, 2010. ,
DOI : 10.1007/s00526-009-0274-x
A ???maximum principle for semicontinuous functions??? applicable to integro-partial differential equations, Nonlinear Differential Equations and Applications NoDEA, vol.13, issue.2, 2006. ,
DOI : 10.1007/s00030-005-0031-6
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.595.1013
Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations, Electron. J. Diff. Eqns, issue.39, pp.1-10, 2002. ,
Second order parabolic differential equations, 1996. ,
DOI : 10.1142/3302
Hölder estimates for viscosity solutions of equations of fractional p-Laplace type, NoDEA Nonlinear Differential Equations Appl, vol.23, issue.5, 2016. ,
Fractional eigenvalues, Calculus of Variations and Partial Differential Equations, vol.56, issue.2, pp.795-826, 2014. ,
DOI : 10.1007/s00526-013-0600-1
URL : http://arxiv.org/abs/1203.4130
Notes on the Infinity-Laplace Equation, SpringerBriefs in Mathematics. BCAM Basque Center for Applied Mathematics, 2016. ,
DOI : 10.1007/978-3-319-31532-4
Tug-of-war and the infinity Laplacian J. Amer, Math. Soc, vol.22, pp.167-210, 2009. ,
Real and Complex Analysis, 1987. ,
Equations d'Hamilton-Jacobi du premier ordre avec termes integro-différentiels. I. Unicite des solutions de viscosité, Comm. Partial Differential Equations, vol.16, pp.6-7, 1991. ,
Finite and infinite speed of propagation for porous medium equations with nonlocal pressure, Journal of Differential Equations, vol.260, issue.2, pp.1154-1199, 2016. ,
DOI : 10.1016/j.jde.2015.09.023