Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612986 | Journal of Differential Equations | 2009 | 15 Pages |
Abstract
We study the asymptotic behaviour of best Sobolev constants on a compact manifold with boundary that we contract in k directions or to a point. We find in the limit best Sobolev constants for weighted Sobolev spaces of the limit manifold.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis