Resumen de Nonsolvability of the asymptotic Dirichlet problem for some quasilinear elliptic PDEs on Hadamard manifolds

Ilkka Holopainen, Jaime B. Ripoll

• 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.