10 citations · 10 across the 2 of their papers we have counts for
9 papers
A family of free boundary minimal surfaces in the unit ball
Anna Siffert, Jan Wuzyk
Using equivariant differential geometry, we provide a family of free boundary minimal surfaces in the unit ball.
Explicit p-harmonic functions on rank-one Lie groups of Iwasawa type
Sigmundur Gudmundsson, Anna Siffert, Marko Sobak
We construct explicit proper p-harmonic functions on rank-one Lie groups of Iwasawa type. This class of Lie groups includes many classical Riemannian manifolds such as the rank-one…
Proper -harmonic functions on the Thurston geometries
Sigmundur Gudmundsson, Anna Siffert
For any positive natural number we construct new explicit proper -harmonic functions on the celebrated -dimensional Thurston geometries $\Sol$, $\Nil$, $\SL2$, $\H…
Handle attachment and the normalized first eigenvalue
Henrik Matthiesen, Anna Siffert
We show that the first eigenvalue of a closed Riemannian surface normalized by the area can be strictly increased by attaching a cylinder or a cross cap. As a consequence we obtain…
Sharp asymptotics of the first eigenvalue on some degenerating surfaces
Henrik Matthiesen, Anna Siffert
We study sharp asymptotics of the first eigenvalue on Riemannian surfaces obtained from a fixed Riemannian surface by attaching a collapsing flat handle or cross cap to it. Through…
New biharmonic functions on the compact Lie groups , ,
Sigmundur Gudmundsson, Anna Siffert
We develope a new scheme for the construction of explicit complex-valued proper biharmonic functions on Riemannian Lie groups. We exploit this and manufacture many infinite series…