Enric Florit-Simon

List of publications

I have recently started exploring the use of AI tools in my research and the new opportunities and challenges they present.

  1. Stable solutions of the Allen–Cahn equation in dimension three are one-dimensional
    (with H. Chan, A. Figalli, X. Fernández-Real and J. Serra)
    preprint.
  2. Universal completeness of exponentials
    (with S. Bertolini, L. Liehr and M. A. Taylor)
    preprint.

Before June 2026, my research had been carried out without AI assistance (other than minor editing/spelling and reference checks). This includes, in particular, all the articles below.

  1. Improvement of flatness in annuli
    (with X. Fernández-Real and J. Serra)
    Discrete Contin. Dyn. Syst. (2026).
  2. Finite index solutions to the Bernoulli problem in three dimensions are axially symmetric
    (with X. Fernández-Real and J. Serra)
    preprint.
  3. Equivalence of intrinsic and extrinsic area bounds for minimal surfaces
    preprint.
  4. Phase transitions with bounded index: Parallels to De Giorgi's conjecture
    preprint.
  5. On stable solutions to the Allen–Cahn equation with bounded energy density in \(\mathbb{R}^4\)
    (with J. Serra)
    preprint.
  6. Weyl Law and convergence in the classical limit for min-max nonlocal minimal surfaces
    preprint.
  7. Fractional Sobolev spaces on Riemannian manifolds
    (with M. Caselli and J. Serra)
    Math. Ann. (2024).
  8. Yau's conjecture for nonlocal minimal surfaces
    (with M. Caselli and J. Serra)
    J. Eur. Math. Soc. (JEMS) (2026).

Theses

Master's thesis (corresponding to arXiv:2306.07100v1).
This work in collaboration with M. Caselli and J. Serra forms my Master's thesis. It was later split up and expanded into 1. and 2. above.

Given talks