1 citations · 1 across the 8 of their papers we have counts for
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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…
Minimal isoparametric submanifolds of and octonionic eigenmaps
Fidelis Bittencourt, Daniel Bustos, Edson Figueiredo +2
We use the octonionic multiplication of to associate, to each unit normal section of a submanifold of an octonionic Gauss map $γ_…
Notes on the Dirichlet problem of a class of second order elliptic partial differential equations on a Riemannian manifold
Jaime Ripoll, Friedrich Tomi
In these notes we study the Dirichlet problem for critical points of a convex functional of the form \[ F(u)=\int_Ωϕ\left( \left\vert \nabla u\right\vert \right) , \] where is…
Topological rigidity for closed hypersurfaces of elliptic space forms
Eduardo Longa, Jaime Ripoll
We prove a topological rigidity theorem for closed hypersurfaces of the Euclidean sphere and of an elliptic space form. It asserts that, under a lower bound hypothesis on the absol…