Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621344 | Journal of Mathematical Analysis and Applications | 2008 | 4 Pages |
Abstract
Let (M,g) be a 4-dimensional compact Riemannian manifold and let a,f be positive smooth functions on M. In this note, we prove that the problem Δgu+a(x)u=f(x)u3 always admits a positive solution, up to a conformal deformation of g. This leads to a geometric obstruction result for the prescribed scalar curvature problem.
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