75 citations · 85 across the 5 of their papers we have counts for
5 papers
Schwarz Symmetrization and Comparison Results for Nonlinear Elliptic Equations and Eigenvalue Problems
Leonardo Prange Bonorino, José Fábio Bezerra Montenegro
We compare the distribution function and the maximum of solutions of nonlinear elliptic equations defined in general domains with solutions of similar problems defined in a ball us…
Riemannian submersions with discrete spectrum
G. Pacelli Bessa, J. Fabio Montenegro, Paolo Piccione
We prove some estimates on the spectrum of the Laplacian of the total space of a Riemannian submersion in terms of the spectrum of the Laplacian of the base and the geometry of the…
An estimate for the sectional curvature of cylindrically bounded submanifolds
Luis J. Alias, G. Pacelli Bessa, J. Fabio Montenegro
We give sharp sectional curvature estimates for complete immersed cylindrically bounded -submanifolds , provided that either $…
Eigenvalue Estimates for submanifolds of with locally bounded mean curvature
G. Pacelli Bessa, M. Silvana Costa
We give lower bounds for the fundamental tone of open sets in submanifolds with locally bounded mean curvature in , where is an -dimensional complete R…
Eigenvalue estimates for submanifolds with locally bounded mean curvature
G. Pacelli Bessa, J. Fabio Montenegro
We give lower bounds for the first Dirichilet eigenvalues for domains in submanifolds with locally bounded mean curvatures. These bounds depend on the injectivity radius, sectional…