10 citations · 10 across the 2 of their papers we have counts for
4 papers
On the prescribed -curvature problem in Riemannian manifolds
Flávio França Cruz, Tiarlos Cruz
We prove the existence of metrics with prescribed -curvature under natural assumptions on the sign of the prescribing function and the background metric. In the dimension four c…
The boundary value Minkowski problem for Weingarten curvatures
Flávio França Cruz
In this paper, we prove the existence of hypersurfaces in the Euclidean space with prescribed boundary and whose k-th Weingarten curvature equals a given function that depends on t…
Radial graphs of constant curvature and prescribed boundary
Flávio F. Cruz
In this paper we are concerned with the problem of finding hypersurfaces of constant curvature and prescribed boundary in the Euclidean space, using the theory of fully nonlinear e…
The Dirichlet Problem for Curvature Equations in Riemannian Manifolds
Jorge H. S. de Lira, Flávio F. Cruz
We prove the existence of classical solutions to the Dirichlet problem for a class of fully nonlinear elliptic equations of curvature type on Riemannian manifolds. We also derive n…