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arXiv:1601.08127 [math.AP]AbstractReferencesReviewsResources

On the rate of change of the best constant in the Sobolev inequality

Tom Carroll, Mouhamed Moustapha Fall, Jesse Ratzkin

Published 2016-01-29Version 1

We estimate the rate of change of the best constant in the Sobolev inequality of a Euclidean domain which moves outward. Along the way we prove an inequality which reverses the usual Holder inequality, which may be of independent interest.

Comments: 17 pages
Categories: math.AP, math.DG
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