4.2 Article

Multiply-periodic hypersurfaces with constant nonlocal mean curvature

Publisher

EDP SCIENCES S A
DOI: 10.1051/cocv/2019047

Keywords

Fractional perimeter; non local mean curvature; bifurcation

Funding

  1. German Academic Exchange Service (DAAD)
  2. Non Linear Analysis, Geometry and Applications Project (NLAGA)

Ask authors/readers for more resources

We study hypersurfaces with fractional mean curvature in N-dimensional Euclidean space. These hypersurfaces are critical points of the fractional perimeter under a volume constraint. We use local inversion arguments to prove existence of smooth branches of multiply-periodic hypersurfaces bifurcating from suitable parallel hyperplanes.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.2
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available