Parabolicity of manifolds

This Paper is an introduction to the study of an invariant of Riemannian manifolds related to the non-linear potential theory of the p-Laplacian and which is called its parabolic or hyperbolic type. One of our main focus is the relationship between the asymptotic geometry of a manifold and its parabolic type.


Published in:
Siberian Adv. Math., 9, 4, 125-150
Year:
1999
Keywords:
Note:
1991 Mathematics Subject Classification. Primary 31C15, 31C12, 31C45; Secondary 53C20.
Laboratories:




 Record created 2008-07-11, last modified 2018-12-03

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