Renzo Bruera

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math.AP2026

Regularity of stable solutions to the MEMS problem up to the optimal dimension 6

Renzo Bruera, Xavier Cabre

In this article we address the regularity of stable solutions to semilinear elliptic equations $- I^ u = f (u)$ with MEMS type nonlinearities. More precisely, we will have $0\leq u \l…

math.AP2026

Periodic Delaunay cylinders with constant anisotropic nonlocal mean curvature

Francesc Alcover, Renzo Bruera

In this article we prove existence and symmetry properties of periodic surfaces of revolution with constant anisotropic nonlocal mean curvature, generalizing a classical result of…

math.AP2026

On the shape of minimizers for the periodic nonlocal perimeter in $R^{2}$

Renzo Bruera

In this paper, we study planar nonlocal Delaunay sets. That is, open sets in $R^{2}$ with constant nonlocal mean curvature that are periodic in $x_{1}$ , and even in $x_{1}$ and…

Regularity of stable solutions to the MEMS problem up to the optimal dimension 6

Periodic Delaunay cylinders with constant anisotropic nonlocal mean curvature

On the shape of minimizers for the periodic nonlocal perimeter in R2

On the shape of minimizers for the periodic nonlocal perimeter in $R^{2}$