Enric Florit-Simon

List of publications

I have started incorporating AI tools into my research since June, in view of its promising developments.

Up to now, my research has been solely human-made (other than minor editing/spelling and reference checks). This includes, in particular, all of the articles below.
Still, I hope to have some interesting news coming soon!

  1. Improvement of flatness in annuli (with X. Fernández-Real and J. Serra),
    preprint.
  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