Nonsolvability of the asymptotic Dirichlet problem for some quasilinear elliptic PDEs on Hadamard manifolds
Ilkka Holopainen, Jaime Ripoll · Revista Matemática Iberoamericana · 2015
We show, by modifying Borbély’s example, that there are 3-dimensional Cartan–Hadamard manifolds M , with sectional curvatures ≤ −1 , such that the asymptotic Dirichlet problem for a class of quasilinear elliptic PDEs, including the minimal graph equation, is not solvable.