Institut für Mathematik, Y27 J20
Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
email: xavier.ros-oton at math.uzh.ch
For a complete list of all my articles and preprints (including some expository papers), see complete list of Publications.
On the singular set in the Stefan problem and a conjecture of Schaeffer,
Alessio Figalli, Xavier Ros-Oton, Joaquim Serra,
In preparation.
The results of this paper were announced in the Fields Medal Lecture of Alessio Figalli.
Stable solutions to semilinear elliptic equations are smooth up to dimension 9, pdf
Xavier Cabré, Alessio Figalli, Xavier Ros-Oton, Joaquim Serra,
preprint arXiv (2019).
Free boundary regularity in the parabolic fractional obstacle problem, pdf
Begoña Barrios, Alessio Figalli, Xavier Ros-Oton,
Comm. Pure Appl. Math. 71 (2018), 2129-2159.
Obstacle problems for integro-differential operators: regularity of solutions and free boundaries, pdf
Luis Caffarelli, Xavier Ros-Oton, Joaquim Serra
Invent. Math. 208 (2017), 1155-1211.
Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains, pdf
Matteo Bonforte, Alessio Figalli, Xavier Ros-Oton,
Comm. Pure Appl. Math. 70 (2017), 1472-1508.
Global regularity for the free boundary in the obstacle problem for the fractional Laplacian, pdf
Begoña Barrios, Alessio Figalli, Xavier Ros-Oton,
Amer. J. Math. 140 (2018), 415-447.
Boundary regularity for fully nonlinear integro-differential equations, pdf
Xavier Ros-Oton, Joaquim Serra,
Duke Math. J. 165 (2016), 2079-2154.
Sharp isoperimetric inequalities via the ABP method, pdf
Xavier Cabré, Xavier Ros-Oton, Joaquim Serra,
J. Eur. Math. Soc. 18 (2016), 2971-2998.
The Pohozaev identity for the fractional Laplacian, pdf
Xavier Ros-Oton, Joaquim Serra,
Arch. Rat. Mech. Anal. 213 (2014), 587-628.
Understanding singularities in free boundary problems, pdf
Xavier Ros-Oton, Joaquim Serra,
Matematica, Cultura e Societa (2019), to appear.
Obstacle problems and free boundaries: an overview, pdf
Xavier Ros-Oton,
SeMA J. 75 (2018), 399-419.
Boundary regularity, Pohozaev identities, and nonexistence results, pdf
Xavier Ros-Oton,
Chapter 9 in the book Recent developments in Nonlocal Theory, De Gruyter, 2018.
Nonlocal elliptic equations in bounded domains: a survey, pdf
Xavier Ros-Oton,
Publ. Mat. 60 (2016), 3-26.
Premio FPdGi Investigación Científica 2019 from the Fundación Princesa de Girona
Awarded anually to a young Spanish scientist under 35 years.
The prize is given by the King of Spain, and comes with a monetary award of 20,000€.PI of the ERC Starting Grant 'EllipticPDE' (2019 - 2024)
Awarded amount: 1,335,250€
Youngest awardee of ERC Starting Grant 2018 (among all panels in all sciences)PI of SNSF Research Project (2018 - 2020)
Awarded amount: 200,000CHFPremio Antonio Valle 2017 from the Spanish Society of Applied Mathematics
Award to the best researcher under 34 years. At age 29, I became the youngest winner of the award ever.Premio Jose Luis Rubio de Francia 2017 from the Real Sociedad Matemática Española
Awarded anually to a young mathematician from Spain or residing in Spain.
It is the highest distinction given by the RSME, and one of the most important prizes in Mathematics in Spain.Premio Vicent Caselles 2015 from the Real Sociedad Matemática Española
Spanish award to the best PhD theses in MathematicsExtraordinary PhD Prize from the Universitat Politecnica de Catalunya
Premi Évariste Galois 2012 from the Societat Catalana de Matemàtiques
Silver Medals at the International Mathematical Competition for university students 2007, 2008, and 2009
Bronze Medal at the International Mathematical Olympiad 2006
- If you are interested on elliptic PDE:
- If you are interested on free boundary problems:
- If you are interested on integro-differential equations: