Research articles
Stable cones in the Alt-Phillips free boundary problem
A. Karakhanyan and T. Sanz-Perela
Preprint.
Elliptic regularization of some semilinear parabolic free boundary problems
A. Audrito and T. Sanz-Perela
Interfaces Free Bound. (2024), 26, 135-159.
Stable solutions to fractional semilinear equations: uniqueness, classification, and approximation results
T. Sanz-Perela
Preprint.
Eigenvalue curves for generalized MIT bag models
N. Arrizabalaga, A. Mas, T. Sanz-Perela, and L. Vega
Commun. Math. Phys. (2023) 397, 337-392.
A universal Hölder estimate up to dimension 4 for stable solutions to half-Laplacian semilinear equations
X. Cabré and T. Sanz-Perela
J. Differential Equations (2022), 317, 153–195.
Semilinear integro-differential equations II: one-dimensional and saddle-shaped solutions to the Allen-Cahn equation
J.C. Felipe-Navarro and T. Sanz-Perela
Math. Eng. (2021), 3, 1-36.
Semilinear integro-differential equations I: odd solutions with respect to the Simons cone
J.C. Felipe-Navarro and T. Sanz-Perela
J. Funct. Anal. (2020), 278, 108309.
Uniqueness and stability of the saddle-shaped solution to the fractional Allen-Cahn equation
J.C. Felipe-Navarro and T. Sanz-Perela
Rev. Mat. Iberoam. (2020), 36, 1887–1916.
Regularity of radial stable solutions to semilinear elliptic equations for the fractional Laplacian
T. Sanz-Perela
Commun. Pure Appl. Anal. (2018), 17, 2547-2575.
The wave equation for stiff strings and piano tuning
X. Gràcia and T. Sanz-Perela
Rep. @SCM 3 (2017), 1-16.
Expository papers
Per què ens agrada la música? Una explicació matemàtica
T. Sanz-Perela
Butl. Soc. Catalana Mat. (2023), 37, 173–204.