2 papers
math.DG2024
Eigenvalue problems and free boundary minimal surfaces in spherical caps
Vanderson Lima, Ana Menezes
Given a compact surface with boundary, we introduce a family of functionals on the space of its Riemannian metrics, defined via eigenvalues of a Steklov-type problem. We prove that…
math.DG2024
A two-piece property for free boundary minimal hypersurfaces in the -dimensional ball
Vanderson Lima, Ana Menezes
We prove that every hyperplane passing through the origin in $\rr^{n+1}$ divides an embedded compact free boundary minimal hypersurface of the euclidean -ball in exactly two…