5 citations · 14 across the 11 of their papers we have counts for
12 papers
Invariant solutions for the asymptotic Plateau problem in
Matheus Pimentel Gomes, Patrícia Kruse Klaser, Jaime Bruck Ripoll +1
In this paper, we present solutions to the asymptotic Plateau problem in the hyperbolic space . In this context, we exhibit solutions for curves that are invariant un…
On the non-parabolicity of
Leonardo Bonorino, Giovanni Nunes, Álvaro Ramos +3
We prove that , the isometry group of the Minkowski plane, is non parabolic with respect to any left invariant metric.
Convergence at infinity for solutions of nonhomogeneous degenerate elliptic equations in exterior domains
Leonardo Prange Bonorino, Lucas Pinto Dutra, Filipe Jung dos Santos
In this work, first we prove that for any compact set and any continuous function defined on , there exists a bounded weak solution in $C(\…
Equivalences among parabolicity, comparison principle and capacity on complete Riemannian manifolds
A. Aiolfi, L. Bonorino, J. Ripoll +2
In this work we establish new equivalences for the concept of -parabolic Riemannian manifolds. We define a concept of comparison principle for elliptic PDE's on exterior domains…
A Moser/Bernstein type theorem in a Lie group with a left invariant metric under a gradient decay condition
Ari Aiolfi, Leonardo Bonorino, Jaime Ripoll +2
We say that a PDE in a Riemannian manifold is geometric if,whenever is a solution of the PDE on a domain of , the composition is also solution on…
On the asymptotic Dirichlet problem for a class of mean curvature type partial differential equations
Leonardo Prange Bonorino, Jean-Baptiste Casteras, Patricia Kruse Klaser +2
We study the Dirichlet problem for the following prescribed mean curvature PDE $$ \begin{cases} -\operatorname{div}\dfrac{\nabla v}{\sqrt{1+|\nabla v|^{2}}}=f(x,v) \text{ in }Ω\\ v…
Liouville's theorem and comparison results for solutions of degenerate elliptic equations in exterior domains
Leonardo Prange Bonorino, Andre Rodrigues Silva, Paulo Ricardo de Avila Zingano
A version of Liouville's theorem is proved for solutions of some degenerate elliptic equations defined in , where is a compact set, provided the struc…
On the nature of isolated asymptotic singularities of solutions of a family of quasi-linear elliptic PDE's on a Cartan-Hadamard manifold
Leonardo Prange Bonorino, Jaime Bruck Ripoll
Let be a Cartan-Hadamard manifold with sectional curvature satisfying , Denote by the asymptotic boundary of and by…
Bounded -harmonic functions in domains of with asymptotic boundary with fractional dimension
Leonardo Prange Bonorino, Patrícia Kruse Klaser
The existence and nonexistence of -harmonic functions in unbounded domains of are investigated. We prove that if the Hausdorff measure of the asymptotic…
Boundedness of Laplacian eigenfunctions on manifolds of infinite volume
Leonardo Bonorino, Patrícia Klaser, Miriam Telichevesky
In a Hadamard manifold , it is proved that if is a -eigenfunction of the Laplacian that belongs to for some , then is bounded and $\|u\|_{\infty} \l…
Existence and nonexistence results for eigenfunctions of the Laplacian in unbounded domains of H^n
Leonardo Bonorino, Patricia Klaser
We investigate, for the Laplacian operator, the existence and nonexistence of eigenfunctions of eigenvalue between zero and the first eigenvalue of the hyperbolic space H^n, for un…
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…