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T1 - Asymptotic Dirichlet problem for A-harmonic and minimal graph equations in Cartan-Hadamard manifolds
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UR - http://hdl.handle.net/10138/306970
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A1 - Casteras, Jean-Baptiste; Holopainen, Ilkka; Ripoll, Jaime B.
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Y1 - 2019
LA - eng
AB - 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 r = d(., o) to a fixed point o is an element of M. We are, in particular, interested in finding optimal (or close to optimal) curvature upper bounds. In the special case of the Laplace-Beltrami equation we are able to solve the asymptotic Dirichlet problem in...
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KW - 111 Mathematics; ISOPERIMETRIC-INEQUALITIES; ELLIPTIC-OPERATORS; BROWNIAN-MOTION; KILLING GRAPHS; INFINITY; SURFACES; DIFFEOMORPHISMS; NONSOLVABILITY; THEOREMS
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