G. Alberti, L. Ambrosio, X. Cabré:
On a long standing conjecture of E. De Giorgi: old and recent results
Acta Appl. Math. Vol. 65 (2001), N. 1, p. 9-33, 2000
L. Ambrosio, X. Cabré:
Entire Solutions of a Semilinear Elliptic Equation in ${\mathcal R}^3$ and a Conjecture of De Giorgi
Journal of the AMS N. 13, p. 725-739, 2000
X. Cabré, E. Cinti:
Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian
Discrete Contin. Dyn. Syst. Vol. 28, N. 3, p. 1179--1206, 2010
X. Cabré, E. Cinti:
Sharp energy estimates for nonlinear fractional diffusion equations
Calc. Var. Partial Differential Equations (Accepted Paper) 2012
X. Cabré, E. Cinti, J. Serra:
Stable $s$-minimal cones in $\mathbb R^3$ are flat for $s\sim 1$
J. Reine Angew. Math. (Crelle's Journal). (Accepted Paper) 2017
X. Cabré, G. Poggesi:
Stable solutions to some elliptic problems: minimal cones, the
Allen-Cahn equation, and blow-up solutions
(preprint) 2018
X. Cabré, A. Figalli, X. Ros-Oton, J. Serra:
Stable solutions to semilinear elliptic equations are smooth up to dimension 9
Acta Mathematica (Accepted Paper) 2020