“A priori” estimates, uniqueness and existence of positive solutions of Yamabe type equations on complete manifolds |
| |
Authors: | Marco Rigoli Silvia Zamperlin |
| |
Affiliation: | Dipartimento di Matematica, Universita' di Milano, via Saldini 50, 20133 Milano, Italy |
| |
Abstract: | We study the asymptotic behaviour of non-negative solutions of Yamabe type equations on a complete Riemannian manifold. Then we provide a comparison result, based on a form of the weak maximum principle at infinity, which together with the “a priori” estimates previously obtained, yields uniqueness under very general Ricci assumptions. The paper ends with an existence result and an application to the non-compact Yamabe problem. |
| |
Keywords: | &ldquo A priori&rdquo estimates Uniqueness Existence Yamabe type equations Riemannian manifolds |
本文献已被 ScienceDirect 等数据库收录! |