25 citations · 25 across the 10 of their papers we have counts for
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Stability of extremal domains for the first eigenvalue of the Laplacian operator
Marcos P. Cavalcante, Ivaldo Nunes
In this paper, we compute the second variation of the first Dirichlet eigenvalue on extremal domains in general Riemannian manifolds and establish a criterion for stability. We cla…
Index estimates for harmonic Gauss maps
Alcides de Carvalho, Marcos P. Cavalcante, Wagner Costa-Filho +1
Let denote a closed surface with constant mean curvature in , a 3-dimensional Lie group equipped with a bi-invariant metric. For such surfaces, there is a harmoni…
First Eigenvalue of Jacobi operator and Rigidity Results for Constant Mean Curvature Hypersurfaces
Marcio Batista, Marcos P. Cavalcante, Luiz R. Melo
In this paper, we obtain geometric upper bounds for the first eigenvalue of the Jacobi operator for both closed hypersurfaces and compact hypersurfaces with boundary havin…