clopen.solutions

Open problems

980 registered problems.

OP-00273 Open
The regular-polygon Steklov conjecture
SP · AIM Open Applied Problems · isoperimetric inequalities · polygons · Steklov eigenvalues
OP-00318 Solution claimed
Uniqueness of the critical catenoid
DG · AIM Open Applied Problems · critical catenoid · free boundary minimal surfaces · Steklov eigenvalues
OP-00343 Solution claimed
Arbitrarily large Steklov frequency with a prescribed embedded boundary
SP · AIM Open Applied Problems · prescribed boundary · Steklov eigenvalues · submanifolds
OP-00346 Open
The first Steklov eigenvalue of a free-boundary minimal hypersurface
DG · AIM Open Applied Problems · free boundary minimal surfaces · Steklov eigenvalues
OP-00385 Open
The Weinstock inequality for convex domains in a sphere
SP · AIM Open Applied Problems · convex domains · isoperimetric inequalities · Steklov eigenvalues
OP-00390 Solution claimed
Unbounded first Steklov multiplicity with fixed boundary count
SP · AIM Open Applied Problems · eigenvalue multiplicities · Riemannian surfaces · Steklov eigenvalues