On the geometric dependence of Riemannian Sobolev best constants

Details On the geometric dependence of Riemannian Sobolev best constants On the geometric dependence of Riemannian Sobolev best constants

2007-08-17

arxiv.org/abs/0708.2376v2

Mathematics

Differential Geometry

19 pages

Scientific paper

We concerns here with the continuity on the geometry of the second Riemannian
L^p-Sobolev best constant B_0(p,g) associated to the AB program. Precisely, for
1 <= p <= 2, we prove that B_0(p,g) depends continuously on g in the
C^2-topology. Moreover, this topology is sharp for p = 2. From this discussion,
we deduce some existence and C^0-compactness results on extremal functions.

Affiliated with

Also associated with

No associations

Rating

On the geometric dependence of Riemannian Sobolev best constants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the geometric dependence of Riemannian Sobolev best constants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the geometric dependence of Riemannian Sobolev best constants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6088