Marcos P. Cavalcante

activity

20052026

most citedHalfspace type Theorems for Self-Shrinkers

25 citations · 25 across the 10 of their papers we have counts for

collaborators

Showing 2026Show all

4 papers · 1 filter

math.DG2026

Index estimates for complete noncompact free boundary minimal surfaces

Marcos P. Cavalcante, Abraao Mendes, Ian R. dos Santos

Let $Ω \subset R^{3}$ be an unbounded domain with smooth boundary and let $Σ$ be a complete, noncompact, orientable, immersed free boundary minimal surface in $Ω$ , with compact…

math.DG2026

Topology of stable free boundary CMC surfaces under lower Ricci curvature bounds

Railane Antonia, Marcos P. Cavalcante, Vinicius Souza

We establish intrinsic area--length--topology inequalities for compact free boundary constant mean curvature (CMC) surfaces in three-manifolds with Ricci curvature bounded from bel…

math.DG2026

Second Robin eigenvalue bounds for Schrödinger operators on Riemannian surfaces

Railane Antonia, Marcos P. Cavalcante, Vinicius Souza

Let $(Σ^{2}, d s^{2})$ be a compact Riemannian surface, possibly with boundary, and consider Schrödinger-type operators of the form $L = Δ + V - a K$ together with natural Robin and Steklov-typ…

math.AP2026

On the Dirichlet boundary value problem on Cartan-Hadamard manifolds

Marcos P. Cavalcante, José M. Espinar, Diego A. Marín

We study bounded solutions of Dirichlet boundary value problems for semilinear elliptic equations on Cartan-Hadamard manifolds with pinched negative curvature. We prove nonexistenc…