#### Selected publications

– **Cabre X**, Sanchon M & Spruck J 2016, ‘A priori estimates for semistable solutions of semilinear elliptic equations’, *Discrete And Continuous Dynamical Systems*, 36, 2, 601 – 609.

– **Cabre X** & Serra J 2016, ‘An extension problem for sums of fractional Laplacians and 1-D symmetry of phase transitions’, *Nonlinear Analysis-theory Methods & Applications*, 137, 246 – 265.

– **Cabre X**, Ros-Oton X & Serra J 2016, ‘Sharp isoperimetric inequalities via the ABP method’, *Journal of the European Mathematical Society,* 18, no. 12, 2971 – 2998.

– Sormani C & **Cabre X** 2016, ‘Recent applications of Nirenberg’s classical ideas’, *Notices of the American Mathematical Society*, 63, no. 2, 126 – 128.

#### Selected research activities

Plenary Talks:

– ‘A Mathematical Tribute to Ennio De Giorgi’. Centro De Giorgi, Pisa, Italy. September 19-23, 2016

– ‘Calculus of Variations and Nonlinear Partial Differential Equations’. Columbia University, USA. May 23-27, 2016

Editorial Boards:

– Editor of the ‘Journal of the European Mathematical Society’ and of ‘Publicacions Matemàtiques’