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

2013/11/22 by Jean-Baptiste Casteras, Casteras, Jean-Baptiste, Ilkka Holopainen +3 · 1 citation
Mathematics · #31C45 #53C21 #58J32 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:31C45 #msc:53C21 #msc:58J32

paper · pdf · doi:10.48550/arxiv.1311.5693

arxiv created 2013/11/22 · arxiv updated 2013/11/25

Abstract

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.

Cited by

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

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