17 citations · 33 across the 4 of their papers we have counts for
7 papers
Ground states of semilinear elliptic equations
Rayssa Caju, Pedro Gaspar, Marco A. M. Guaraco +1
We study solutions of , where the potential can have an arbitrary number of wells at arbitrary heights, including bottomless wells with subcritical decay. In our…
A remark on the rigidity of the first conformal Steklov eigenvalue
Henrik Matthiesen, Romain Petrides
We show rigidity of the first conformal Steklov eigenvalue on annuli and Möbius bands. The proof relies, among others, on uniqueness results due to Fraser--Schoen, a compactness th…
Free boundary minimal surfaces of any topological type in Euclidean balls via shape optimization
Henrik Matthiesen, Romain Petrides
For any compact surface with smooth, non-empty boundary, we construct a free boundary minimal immersion into a Euclidean Ball where is controlled in terms of…
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…
The systole of large genus minimal surfaces in positive Ricci curvature
Henrik Matthiesen, Anna Siffert
We use Colding--Minicozzi lamination theory to study the systole of large genus minimal surfaces in an ambient three-manifold of positive Ricci curvature.