Title of article
Positive Solutions of Yamabe Type Equations on Complete Manifolds and Applications
Author/Authors
Brandolini، نويسنده , , L and Rigoli، نويسنده , , M and Setti، نويسنده , , A.G، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1998
Pages
47
From page
176
To page
222
Abstract
We study the semilinear equationΔu+a(x) u=b(x) uσ(σ>1) on a complete Riemannian manifold. We determine conditions on the coefficients that guarantee existence and nonexistence of positive solutions. A very general uniqueness result is also established. Our main results are valid without explicit curvature assumptions, and appear to be new even in Rm.
Journal title
Journal of Functional Analysis
Serial Year
1998
Journal title
Journal of Functional Analysis
Record number
1549060
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