18 citations · 28 across the 7 of their papers we have counts for
10 papers
Volume growth and parabolicity for non-symmetric operators
Leandro F. Pessoa, Stefano Pigola, Alberto G. Setti
The interplay between a weighted volume measure and its naturally associated weighted Laplace operator is fundamental to the geometric analysis of weighted structures governed by g…
Conformal Geometry and Spectral Bounds on Manifolds with Boundary
Tiarlos Cruz, Leandro F. Pessoa, Erisvaldo Véras
This work investigates upper bounds for the spectrum of the Steklov-type operator on Riemannian manifolds with boundary. We extend the Fraser-Schoen estimate for the first positive…
Mean exit times from submanifolds with bounded mean curvature
G. Pacelli Bessa, Steen Markvorsen, Leandro F. Pessoa
We show that submanifolds with infinite mean exit time can not be isometrically and minimally immersed into cylinders, horocylinders, cones, and wedges of some product spaces. Our…
Half-space theorems for -surfaces of
G. Pacelli Bessa, Tiarlos Cruz, Leandro F. Pessoa
In this paper we investigate the intersection problem for -surfaces immersed in a complete Riemannian three-manifold with Ricci curvature bounded from below by . We firs…
Stochastic half-space theorems for minimal surfaces and -surfaces of
G. Pacelli Bessa, Luquesio P. Jorge, Leandro Pessoa
We prove a version of the strong half-space theorem between the classes of recurrent minimal surfaces and complete minimal surfaces with bounded curvature of $\mathbb{R}^{3}_{\rais…
Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian
Damião J. Araújo, Luciano Mari, Leandro F. Pessoa
In this paper, we study some potential theoretic aspects of the eikonal and infinity Laplace operator on a Finsler manifold . Our main result shows that the forward completeness…
Dirichlet parabolicity and -Liouville property under localized geometric conditions
Leandro F. Pessoa, Stefano Pigola, Alberto G. Setti
We shed a new light on the -Liouville property for positive, superharmonic functions by providing many evidences that its validity relies on geometric conditions localized on…
Duality between Ahlfors-Liouville and Khas'minskii properties for nonlinear equations
Luciano Mari, Leandro F. Pessoa
In recent years, the study of the interplay between (fully) non-linear potential theory and geometry received important new impulse. The purpose of this work is to move a step furt…
Curvature estimates for properly immersed -bounded submanifolds
G. Pacelli Bessa, Barnabe P. Lima, Leandro F. Pessoa
Jorge-Koutrofiotis and Pigola-Rigoli-Setti proved sharp sectional curvature estimates for extrinsically bounded submanifolds. Alias, Bessa and Montenegro showed that these estimate…
Maximum principle for semi-elliptic trace operators and geometric applications
G. Pacelli Bessa, Leandro F. Pessoa
Based on ideas of L. Alías, D. Impera and M. Rigoli developed in "Hypersurfaces of constant higher order mean curvature in warped products", we develope a fairly general weak/Omori…