Non-linear ground state representations and sharp Hardy inequalities

Details Non-linear ground state representations and sharp Hardy inequalities Non-linear ground state representations and sharp Hardy inequalities

2008-03-04

arxiv.org/abs/0803.0503v2

J. Funct. Anal. 255 (2008), 3407 - 3430

Mathematics

Analysis of PDEs

AMSLaTeX, 22 pages; extension of the result to the case N<ps

Scientific paper

We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces. To do so, we develop a non-linear and non-local version of the ground state representation, which even yields a remainder term. From the sharp Hardy inequality we deduce the sharp constant in a Sobolev embedding which is optimal in the Lorentz scale. In the appendix, we characterize the cases of equality in the rearrangement inequality in fractional Sobolev spaces.

Affiliated with

Also associated with

No associations

Rating

Non-linear ground state representations and sharp Hardy inequalities 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 Non-linear ground state representations and sharp Hardy inequalities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-linear ground state representations and sharp Hardy inequalities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406786