Universitat Politècnica de Catalunya
Departament Matemàtica Aplicada I
Avda. Diagonal 647, 08028 Barcelona
Despatx 3.10
Tel. +34 93 401 58 15
email: xavier.ros.oton at upc.edu
Ph.D. student under the supervision of Prof. Xavier Cabré
The Pohozaev identity for the fractional Laplacian,
Xavier Ros-Oton, Joaquim Serra,
forthcoming.
Sobolev and isoperimetric inequalities with monomial weights,
Xavier Cabré, Xavier Ros-Oton,
preprint.
Fractional Laplacian: Pohozaev identity and nonexistence results, pdf
Xavier Ros-Oton, Joaquim Serra,
Submitted to C. R. Math. Acad. Sci. Paris.
Regularity of stable solutions up to dimension 7 in domains of double revolution, pdf
Xavier Cabré, Xavier Ros-Oton,
Comm. Partial Differential Equations, to appear.
Existence of periodic solutions with nonconstant sign in a class of generalized Abel equations, pdf
Josep M. Olm, Xavier Ros-Oton,
Discrete Contin. Dyn. Syst., to appear.
On a factorization of Riemann's zeta function with respect to a quadratic field and its computation, pdf
Xavier Ros-Oton,
Rev. Acad. Cienc. Ser. A Math. (2012), to appear.
Periodic solutions with nonconstant sign in Abel equations of second kind, pdf
Josep M. Olm, Xavier Ros-Oton, Tere M. Seara,
J. Math. Anal. Appl. 381 (2011), 582-589.
Stable inversion of Abel equations: application to tracking control in DC-DC nonminimum phase boost converters, pdf
Josep M. Olm, Xavier Ros-Oton, Yuri B. Shtessel,
Automatica 47 (2011), 221-226.
Approximate tracking of periodic references in a class of bilinear systems via stable inversion, pdf
Josep M. Olm, Xavier Ros-Oton,
Discrete Contin. Dyn. Syst. Ser. B 15 (2011), 197-215.
Premi Évariste Galois 2012 for the Master's Thesis 'Minimizers to reaction-diffusion PDEs, isoperimetric inequalities, and monomial weights'
FPU Fellowship from the Ministerio de Educación y Ciencia 2011-2014, selected with the highest score of the call in the field of mathematics
Participant at the
X Programa de Jóvenes Líderes Iberoamericanos, 2011
This program, sponsored by Fundación Carolina, Fundación Rafael del Pino, and Banco Santander,
selects the 5 best graduates of the year from each iberoamerican country, and during
3 weeks it aims to provide better knowledge of the Spanish and European reality to
the participants
Silver Medal at the International Mathematical Competition for univeristy students 2007, 2008, and 2009
Bronze Medal at the International Mathematical Olympiad 2006
Gold Medal at the Olimpiada Matemática Española 2006
First Prize at Cangur 2005 and 2006
