4 papers · 1 filter
Improvement of flatness in annuli
Xavier Fernández-Real, Enric Florit-Simon, Joaquim Serra
We present a short and flexible improvement-of-flatness argument adapted to the setting of exterior domains, where one is naturally led to work with annuli instead of balls. As a m…
Equivalence of intrinsic and extrinsic area bounds for minimal surfaces
Enric Florit-Simon
We show that intrinsic and extrinsic area density bounds are equivalent, with matching asymptotic values, for complete, connected, smooth minimal immersions …
Weyl Law and convergence in the classical limit for min-max nonlocal minimal surfaces
Enric Florit-Simon
We study nonlocal minimal surfaces as a new approximation theory for the area functional, and more specifically in the context of Yau's conjecture on the existence of minimal surfa…
Yau's conjecture for nonlocal minimal surfaces
Michele Caselli, Enric Florit-Simon, Joaquim Serra
We introduce nonlocal minimal surfaces on closed manifolds and establish a far-reaching Yau-type result: in every closed, -dimensional Riemannian manifold we construct infinitel…