Let (M, g) be an n-dimensional compact Riemannian manifold with boundary. We consider a Yamabe-type problem on M We build a sequence of solutions depending on a parameter which blow up at a point of the boundary as the parameter goes to zero. The blowing-up behavior is ruled by the mean curvature of the boundary.
On Yamabe-type problems on Riemannian manifolds with boundary
GHIMENTI, MARCO GIPO;
2016-01-01
Abstract
Let (M, g) be an n-dimensional compact Riemannian manifold with boundary. We consider a Yamabe-type problem on M We build a sequence of solutions depending on a parameter which blow up at a point of the boundary as the parameter goes to zero. The blowing-up behavior is ruled by the mean curvature of the boundary.File in questo prodotto:
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