Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/102670
Title: A Liouville-Type Theorem for Strongly Subharmonic Functions on Complete Non-compact Riemannian Manifolds and Some Applications
Authors: Leung, P.-F. 
Keywords: First eigenvalue
Size of Gauss image
Strongly subharmonic functions
Issue Date: 1997
Source: Leung, P.-F. (1997). A Liouville-Type Theorem for Strongly Subharmonic Functions on Complete Non-compact Riemannian Manifolds and Some Applications. Geometriae Dedicata 66 (2) : 159-162. ScholarBank@NUS Repository.
Abstract: We prove that if M is a complete non-compact Riemannian manifold and λ1(M) = 0, then any C2 solution of Δu ≥ k > 0 is unbounded. We apply this result to obtain an estimate for the size of the image set of some types of maps between Riemannian manifolds.
Source Title: Geometriae Dedicata
URI: http://scholarbank.nus.edu.sg/handle/10635/102670
ISSN: 00465755
Appears in Collections:Staff Publications

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