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arXiv · 1501.05249

Asymptotic Dirichlet problem for A-harmonic and minimal graph equations in Cartan-Hadamard manifolds

Jean-Baptiste Casteras·Ilkka Holopainen·Jaime B. Ripoll
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Abstract

We study the asymptotic Dirichlet problem for A-harmonic equations and for the minimal graph equation on a Cartan-Hadamard manifold M whose sectional curvatures are bounded from below and above by certain functions depending on the distance to a fixed point in M. We are, in particular, interested in finding optimal (or close to optimal) curvature upper bounds.

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Jean-Baptiste Casteras, Ilkka Holopainen, Jaime B. Ripoll. 2015-01-21. Asymptotic Dirichlet problem for A-harmonic and minimal graph equations in Cartan-Hadamard manifolds. https://doi.org/10.4310/cag.2019.v27.n4.a3

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