Nonexistence and uniqueness

of positive solutions of Yamabe type equations

on nonpositively curved manifolds

Authors:
Bruno Bianchini and Marco Rigoli

Journal:
Trans. Amer. Math. Soc. **349** (1997), 4753-4774

MSC (1991):
Primary 53C21, 58G03

DOI:
https://doi.org/10.1090/S0002-9947-97-01810-2

MathSciNet review:
1401514

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove nonexistence and uniqueness of positive -solutions of the elliptic equation , , on a nonpositively curved, complete manifold .

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Additional Information

**Bruno Bianchini**

Affiliation:
B.B. e M.R. Dipartimento di Matematica, Universitá di Milano, Via Saldini, 50, 20133, Milano, Italy

**Marco Rigoli**

Affiliation:
B.B. e M.R. Dipartimento di Matematica, Universitá di Milano, Via Saldini, 50, 20133, Milano, Italy

Email:
rigoli@vmimat.mat.unimi.it

DOI:
https://doi.org/10.1090/S0002-9947-97-01810-2

Keywords:
Maximum principles,
elliptic differential inequalities,
Riemannian geometry

Received by editor(s):
March 6, 1995

Article copyright:
© Copyright 1997
American Mathematical Society