Regularity for non-local almost minimal boundaries and applications

Details Regularity for non-local almost minimal boundaries and applications Regularity for non-local almost minimal boundaries and applications

2010-03-12

arxiv.org/abs/1003.2470v2

Mathematics

Analysis of PDEs

Section 2 now has an auxiliary Lemma which is used several times throughout the paper. Section 5 was rewritten with a new cons

Scientific paper

We introduce a notion of non-local almost minimal boundaries similar to that introduced by Almgren in geometric measure theory. Extending methods developed recently for non-local minimal surfaces we prove that flat non-local almost minimal boundaries are smooth. This can be viewed as a non-local version of the Almgren-De Giorgi-Tamanini regularity theory. The main result has several applications, among these $C^{1,\alpha}$ regularity for sets with prescribed non-local mean curvature in $L^p$ and regularity of solutions to non-local obstacle problems.

Affiliated with

Also associated with

No associations

Rating

Regularity for non-local almost minimal boundaries and applications 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 Regularity for non-local almost minimal boundaries and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity for non-local almost minimal boundaries and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-126445