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Riemannian manifolds with bounded Dirichlet finite polyharmonic functions. (English) Zbl 0304.31011


MSC:

31B30 Biharmonic and polyharmonic equations and functions in higher dimensions
53C20 Global Riemannian geometry, including pinching
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References:

[1] O. Haupt , Über das asymptotische Verhalten der Lösungen gewisser linearer gewöhnlicher Differentialgleichungen , Math. Z. 48 ( 1913 ), 289 - 292 . MR 8296 | Zbl 0027.06101 | JFM 68.0186.02 · Zbl 0027.06101
[2] E. Hille , Behavior of solutions of linear second order differential equations , Ark. Math. 2 ( 1952 ), 25 - 41 . MR 51995 | Zbl 0048.06502 · Zbl 0048.06502
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