{"id":55,"date":"2021-06-30T19:49:27","date_gmt":"2021-06-30T19:49:27","guid":{"rendered":"https:\/\/www.ub.edu\/pde\/EllipticPDE\/?page_id=55"},"modified":"2024-11-11T10:16:28","modified_gmt":"2024-11-11T10:16:28","slug":"published","status":"publish","type":"page","link":"https:\/\/www.ub.edu\/pde\/EllipticPDE\/published\/","title":{"rendered":"Articles"},"content":{"rendered":"\n

X. Ros-Oton, M. Weidner, Obstacle problems for nonlocal operators with singular kernels<\/strong><\/a>, Ann. Sc. Norm. Super. Pisa Cl. Sci.<\/em><\/a> (2024), to appear.

X. Ros-Oton, C. Torres-Latorre, M. Weidner, Semiconvexity estimates for nonlinear integro-differential equations<\/a><\/strong>, Comm. Pure Appl. Math.<\/em><\/a> (2024), to appear.

M. Kassmann, M. Weidner, The parabolic Harnack inequality for nonlocal equations<\/strong>, Duke Math. J<\/em><\/a>. (2024) <\/em>to appear.

F. Franceschini, W. Zato\u0144 , C\u221e partial regularity of the singular set in the obstacle problem<\/a><\/strong>, Anal. PDE.<\/em> (2024), to appear.

C. Torres-Latorre, Parabolic boundary Harnack inequalities with right-hand side<\/a><\/strong>, Archive for Rational Mechanics and Analysis<\/em> 248 (5) (2024), 73

T. Jin, X. Ros-Oton, J. Xiong, Optimal regularity and fine asymptotics for the porous medium equation in bounded domains<\/a>,<\/strong>  J. Reine Angew. Math.<\/em><\/a> 809 (2024), 269-300.

X. Fernandez-Real, X. Ros-Oton, Schauder and Cordes-Nirenberg estimates for nonlocal elliptic equations with singular kernels<\/a><\/strong>, Proc. Lond. Math. Soc.<\/a><\/em> 129 (2024), e12629, 47pp.

M. Colombo, X. Fernandez-Real, X. Ros-Oton, Optimal regularity for the fully nonlinear thin obstacle problem<\/a><\/strong>, J. Eur. Math. Soc.<\/a>, in press (2024)<\/em><\/p>\n\n\n\n

X. Ros-Oton,\u00a0C. Torres-Latorre, Optimal regularity for supercritical parabolic obstacle problems<\/a><\/strong>, Comm. Pure Appl. Math.<\/a>, 77 (2024), 1724-1765<\/em>.

X Fern\u00e1ndez-Real, C Torres-Latorre, Generic regularity of free boundaries for the thin obstacle problem<\/a><\/strong>, Advances in Mathematics<\/em>, Volume 433, (2023), 109323.<\/p>\n\n\n\n

A. Figalli,\u00a0X. Ros-Oton,\u00a0J. Serra, The singular set in the Stefan problem<\/a><\/strong>, J. Amer. Math. Soc.<\/a>, 37 (2024), 305-389.<\/em><\/p>\n\n\n\n

M. Moustapha Fall, X. Ros-Oton, Global Schauder theory for minimizers of the H^s(\\Omega) energy<\/a><\/strong>, J. Funct. Anal.<\/a> 283 (2022), 109523, 50 pp<\/em>.<\/p>\n\n\n\n

S. Dipierro, X. Ros-Oton, J. Serra, E. Valdinoci, Non-symmetric stable operators: regularity theory and integration by parts<\/a><\/strong>, Adv. Math.<\/a>  401 (2022), 108321, 100 pp.<\/em><\/p>\n\n\n\n

X. Fernandez-Real, X. Ros-Oton, Stable cones in the thin one-phase problem<\/strong>,<\/a> Amer. J. Math<\/em><\/a>, 146 (2024), 631-685.<\/em><\/p>\n\n\n\n

E. Cinti, F. Glaudo, A. Pratelli, X. Ros-Oton, J. Serra, Sharp quantitative stability for isoperimetric inequalities with homogeneous weights<\/a><\/strong>, Trans. Amer. Math. Soc.<\/em><\/a> 375<\/em> (2022), 1509-1550.<\/em><\/p>\n\n\n\n

A. Audrito, J.-C. Felipe-Navarro, X. Ros-Oton, The Neumann problem for the fractional Laplacian: regularity up to the boundary<\/a><\/strong>, Ann. Sc. Norm. Super. Pisa Cl. Sci<\/a>., 24 (2023), 1155-1222.<\/em><\/p>\n\n\n\n

T. Kukuljan, Higher order parabolic boundary Harnack inequality<\/strong><\/a>, Disc. Cont. Dyn. Syst. 42 (2022),<\/em> 2667-2698.<\/p>\n\n\n\n

X. Ros-Oton, C. Torres-Latorre, New boundary Harnack inequalities with right hand side,<\/strong><\/a> <\/em>J. Differential Equations<\/em><\/a>  288 (2021), 204-249 pp.<\/em><\/p>\n\n\n\n

S. Eberle, X. Ros-Oton, G. Weiss, Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian<\/a><\/strong>, Nonlinear Anal<\/a>., 211 (2021), 112473.<\/em> Special issue on “Free boundary problems”. <\/p>\n\n\n\n

M.A. Garc\u00eda-Ferrero, A. R\u00fcland, W. Zato\u0144, Runge Approximation and Stability Improvement for a Partial Data Calder\u00f3n Problem for the Acoustic Helmholtz Equation<\/a><\/strong>, American Institute of Mathematical Sciences (2022)<\/em>,\u00a0Volume 16<\/a>,\u00a0Issue 1<\/a>:\u00a0251-281<\/p>\n\n\n\n

T. Kukuljan, The fractional obstacle problem with drift: higher regularity of free boundaries<\/a><\/strong>, Journal of Functional Analysis, Volume 281, Issue 8, (2021)<\/em><\/p>\n\n\n\n

A. Enciso, A. Shao, B. Vergara, <\/a>Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials<\/a><\/strong>, J. Eur. Math. Soc., Volume 23, Issue 10 (2021), pp. 37<\/em><\/p>\n\n\n\n

E. Cinti, F. Glaudo, A. Pratelli, X. Ros-Oton, J. Serra, Sharp quantitative stability for isoperimetric inequalities with homogeneous weights<\/a><\/strong>, Transaction of the American Mathematical Society <\/a>(2021)<\/em><\/p>\n\n\n\n

X. Fernandez-Real, X. Ros-Oton, Free boundary regularity for almost every solution to the Signorini problem<\/a><\/strong>, Archive for Rational Mechanics and Analysis<\/a>, 240 (2021), 419-466<\/em><\/em> pp.<\/em><\/p>\n\n\n\n

A. Figalli, X. Ros-Oton, J. Serra, Generic regularity of free boundaries for the obstacle problem<\/a><\/strong>, Publ. Math. Inst. Hautes \u00c9tudes Sci.<\/a> 132 (2020), 181-292<\/em><\/p>\n\n\n\n

A. Audrito, X. Ros-Oton, The Dirichlet problem for nonlocal elliptic operators with C^\\alpha exterior data<\/a><\/strong>, Proc. Amer. Math. Soc.<\/a>, 148 (2020) 4455-4470 pp.<\/em><\/p>\n\n\n\n

N. Abatangelo, X.Ros-Oton, Obstacle problems for integro-differential operators: higher regularity of free boundaries<\/a><\/strong>, <\/a>Adv. Math.<\/a> 360 (2020), 106931, 61 p<\/em>p.<\/p>\n\n\n\n

X. Cabr\u00e9, A. Figalli, X. Ros-Oton, J. Serra, Stable solutions to semilinear elliptic equations are smooth up to dimension 9<\/a><\/strong>, Acta Math.<\/a> 224 (2020), 187-252 pp.<\/em><\/p>\n\n\n\n

X. Fernandez-Real, X. Ros-Oton, On global solutions to semilinear elliptic equations related to the one-phase free boundary problem<\/a><\/strong>, Discrete Contin. Dyn. Syst. A<\/a> 39 (2019), 6945-6959. <\/em>Special issue Dedicated to Luis Caffarelli on the Occasion of his 70th Birthday.<\/p>\n\n\n\n

N. Garofalo, X. Ros-Oton, Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian<\/a><\/strong>, <\/a>Rev. Mat. Iberoam.<\/a> 35 (2019), 1309-1365 pp<\/em>. <\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

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. … <\/p>\n

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