X. Ros-Oton, M. Weidner, Obstacle problems for nonlocal operators with singular kernels, Ann. Sc. Norm. Super. Pisa Cl. Sci. (2024), to appear.
X. Ros-Oton, C. Torres-Latorre, M. Weidner, Semiconvexity estimates for nonlinear integro-differential equations, Comm. Pure Appl. Math. (2024), to appear.
M. Kassmann, M. Weidner, The parabolic Harnack inequality for nonlocal equations, Duke Math. J. (2024) to appear.
F. Franceschini, W. Zatoń , C∞ partial regularity of the singular set in the obstacle problem, Anal. PDE. (2024), to appear.
C. Torres-Latorre, Parabolic boundary Harnack inequalities with right-hand side, Archive for Rational Mechanics and Analysis 248 (5) (2024), 73
T. Jin, X. Ros-Oton, J. Xiong, Optimal regularity and fine asymptotics for the porous medium equation in bounded domains, J. Reine Angew. Math. 809 (2024), 269-300.
X. Fernandez-Real, X. Ros-Oton, Schauder and Cordes-Nirenberg estimates for nonlocal elliptic equations with singular kernels, Proc. Lond. Math. Soc. 129 (2024), e12629, 47pp.
M. Colombo, X. Fernandez-Real, X. Ros-Oton, Optimal regularity for the fully nonlinear thin obstacle problem, J. Eur. Math. Soc., in press (2024)
X. Ros-Oton, C. Torres-Latorre, Optimal regularity for supercritical parabolic obstacle problems, Comm. Pure Appl. Math., 77 (2024), 1724-1765.
X Fernández-Real, C Torres-Latorre, Generic regularity of free boundaries for the thin obstacle problem, Advances in Mathematics, Volume 433, (2023), 109323.
A. Figalli, X. Ros-Oton, J. Serra, The singular set in the Stefan problem, J. Amer. Math. Soc., 37 (2024), 305-389.
M. Moustapha Fall, X. Ros-Oton, Global Schauder theory for minimizers of the H^s(\Omega) energy, J. Funct. Anal. 283 (2022), 109523, 50 pp.
S. Dipierro, X. Ros-Oton, J. Serra, E. Valdinoci, Non-symmetric stable operators: regularity theory and integration by parts, Adv. Math. 401 (2022), 108321, 100 pp.
X. Fernandez-Real, X. Ros-Oton, Stable cones in the thin one-phase problem, Amer. J. Math, 146 (2024), 631-685.
E. Cinti, F. Glaudo, A. Pratelli, X. Ros-Oton, J. Serra, Sharp quantitative stability for isoperimetric inequalities with homogeneous weights, Trans. Amer. Math. Soc. 375 (2022), 1509-1550.
A. Audrito, J.-C. Felipe-Navarro, X. Ros-Oton, The Neumann problem for the fractional Laplacian: regularity up to the boundary, Ann. Sc. Norm. Super. Pisa Cl. Sci., 24 (2023), 1155-1222.
T. Kukuljan, Higher order parabolic boundary Harnack inequality, Disc. Cont. Dyn. Syst. 42 (2022), 2667-2698.
X. Ros-Oton, C. Torres-Latorre, New boundary Harnack inequalities with right hand side, J. Differential Equations 288 (2021), 204-249 pp.
S. Eberle, X. Ros-Oton, G. Weiss, Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian, Nonlinear Anal., 211 (2021), 112473. Special issue on “Free boundary problems”.
M.A. García-Ferrero, A. Rüland, W. Zatoń, Runge Approximation and Stability Improvement for a Partial Data Calderón Problem for the Acoustic Helmholtz Equation, American Institute of Mathematical Sciences (2022), Volume 16, Issue 1: 251-281
T. Kukuljan, The fractional obstacle problem with drift: higher regularity of free boundaries, Journal of Functional Analysis, Volume 281, Issue 8, (2021)
A. Enciso, A. Shao, B. Vergara, Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials, J. Eur. Math. Soc., Volume 23, Issue 10 (2021), pp. 37
E. Cinti, F. Glaudo, A. Pratelli, X. Ros-Oton, J. Serra, Sharp quantitative stability for isoperimetric inequalities with homogeneous weights, Transaction of the American Mathematical Society (2021)
X. Fernandez-Real, X. Ros-Oton, Free boundary regularity for almost every solution to the Signorini problem, Archive for Rational Mechanics and Analysis, 240 (2021), 419-466 pp.
A. Figalli, X. Ros-Oton, J. Serra, Generic regularity of free boundaries for the obstacle problem, Publ. Math. Inst. Hautes Études Sci. 132 (2020), 181-292
A. Audrito, X. Ros-Oton, The Dirichlet problem for nonlocal elliptic operators with C^\alpha exterior data, Proc. Amer. Math. Soc., 148 (2020) 4455-4470 pp.
N. Abatangelo, X.Ros-Oton, Obstacle problems for integro-differential operators: higher regularity of free boundaries, Adv. Math. 360 (2020), 106931, 61 pp.
X. Cabré, A. Figalli, X. Ros-Oton, J. Serra, Stable solutions to semilinear elliptic equations are smooth up to dimension 9, Acta Math. 224 (2020), 187-252 pp.
X. Fernandez-Real, X. Ros-Oton, On global solutions to semilinear elliptic equations related to the one-phase free boundary problem, Discrete Contin. Dyn. Syst. A 39 (2019), 6945-6959. Special issue Dedicated to Luis Caffarelli on the Occasion of his 70th Birthday.
N. Garofalo, X. Ros-Oton, Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian, Rev. Mat. Iberoam. 35 (2019), 1309-1365 pp.