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- W2952884908 abstract "We extend the well-known Denjoy-Ahlfors theorem on the number of different asymptotic tracts of holomorphic functions to subharmonic functions on arbitrary Riemannian manifolds. We obtain some new versions of the Liouville theorem for $p$-harmonic functions without requiring the geodesic completeness requirement of a manifold. Moreover, an upper estimate of the topological index of the height function on a minimal surface in $R{n}$ has been established and, as a consequence, a new proof of Bernstein's theorem on entire solutions has been derived. Other applications to minimal surfaces are also discussed." @default.
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- W2952884908 date "1996-01-01" @default.
- W2952884908 modified "2023-10-01" @default.
- W2952884908 title "Denjoy–Ahlfors theorem for harmonic functions on Riemannian manifolds and external structure of minimal surfaces" @default.
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- W2952884908 doi "https://doi.org/10.4310/cag.1996.v4.n4.a2" @default.
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