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| 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 | Citation: | 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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