3 papers
math.DG2020
Group invariant solutions of certain partial differential equations
Jaime Ripoll, Friedrich Tomi
Let be a complete Riemannian manifold and a Lie subgroup of the isometry group of acting freely and properly on We study the Dirichlet Problem \begin{align*} \oper…
math.DG2018
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…
math.DG2014
Complete minimal discs in Hadamard manifolds
Jaime Ripoll, Friedrich Tomi
Using the classical approach we show the existence of disc type solutions to the asymptotic Plateau problem in certain Hadamard manifolds which may have arbitrarily strong curvatur…