2 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…