clopen.solutions

Open problems

1131 registered problems.

OP-00318 Solution claimed
Uniqueness of the critical catenoid
DG · AIM Open Applied Problems · critical catenoid · free boundary minimal surfaces · Steklov eigenvalues
OP-00346 Partially resolved
The first Steklov eigenvalue of a free-boundary minimal hypersurface
DG · AIM Open Applied Problems · free boundary minimal surfaces · Steklov eigenvalues
OP-00593 Open
Flatness of three-dimensional fractional minimizing cones for every interaction order
AP · AIM Open Applied Problems · fractional perimeters · minimal cones · nonlocal minimal surfaces
OP-01010 Open
Embeddedness of first Steklov maximisers with many boundary components
DG · Colbois–Girouard–Gordon–Sher Steklov problems · eigenvalue optimisation · free boundary minimal surfaces · Steklov eigenvalues
OP-01024 Partially resolved
The Kusner–McGrath conjecture on first Steklov eigenspaces of free boundary minimal hypersurfaces
DG · Colbois–Girouard–Gordon–Sher Steklov problems · Fraser–Li conjecture · free boundary minimal surfaces · Steklov eigenvalues
OP-01118 Open
Intrinsic-flat stability of scalar sphere rigidity
DG · AIM Open Applied Problems · intrinsic flat convergence · minimal surfaces · scalar curvature