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20062023
most citedConvexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems

14 citations · 54 across the 15 of their papers we have counts for

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Showing 2013Show all

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math.DG2013★ 6 cited

Nonsolvability of the asymptotic Dirichlet problems for some quasilinear elliptic PDEs on Hadamard manifolds

Ilkka Holopainen, Jaime Ripoll

We show, by modifying Borbély's example, that there are -dimen\-sional Cartan-Hadamard manifolds , with sectional curvatures , such that the asymptotic Dirichlet prob…

math.DG2013★ 1 cited

On the asymptotic Dirichlet problem for the minimal hypersurface equation in a Hadamard manifold

Jean-Baptiste Casteras, Ilkka Holopainen, Jaime B. Ripoll

We study the Dirichlet problem at infinity on a Cartan-Hadamard manifold for a large class of operators containing in particular the p-Laplacian and the minimal graph operator.