4 citations · 7 across the 12 of their papers we have counts for
5 papers · 2 filters
Index estimates for complete noncompact free boundary minimal surfaces
Marcos P. Cavalcante, Abraao Mendes, Ian R. dos Santos
Let be an unbounded domain with smooth boundary and let be a complete, noncompact, orientable, immersed free boundary minimal surface in , with compact…
Second Jacobi eigenvalues and spectral rigidity for surfaces in Berger spheres
Márcio Batista, Abraão Mendes
In this paper, we establish an upper bound for the second eigenvalue of the scalar Jacobi operator of an arbitrary closed two-sided surface immersed in a contracted Berger sphere.…
A strict second-eigenvalue estimate for the scalar stability operator on surfaces in
Márcio Batista, Abraão Mendes
Let be a closed immersed surface, with no orientability or, equivalently, two-sidedness assumptions. We establish the sharp quantitative estimat…
Second Eigenvalue Estimates and Spectral Rigidity for Submanifolds of Compact Rank-One Symmetric Spaces
Márcio Batista, Abraão Mendes
In this paper, we establish upper bounds for the second eigenvalue of the Schrödinger operator on -dimensional closed submanifolds of the compact projective spaces…
Index estimates for planar domains with Robin boundary condition
Abraão Mendes
In this note, we study the index of the Laplace operator on planar domains with compact smooth boundary, allowing both the compact and noncompact cases, under a natural Robin b…