126 citations · 157 across the 14 of their papers we have counts for
17 papers
Free boundary minimal surfaces in products of balls
Jaigyoung Choe, Ailana Fraser, Richard Schoen
In this paper we develop an extremal eigenvalue approach to the problem of construction of free boundary minimal surfaces in the product of Euclidean balls of chosen radii. The ext…
Stability and largeness properties of minimal surfaces in higher codimension
Ailana Fraser, Richard Schoen
We consider stable minimal surfaces of genus 1 in Euclidean space and in Riemannian manifolds. Under the condition of covering stability (all finite covers are stable) we show that…
Some results on higher eigenvalue optimization
Ailana Fraser, Richard Schoen
In this paper we obtain several results concerning the optimization of higher Steklov eigenvalues both in two and higher dimensional cases. We first show that the normalized (by bo…
Existence and classification of -invariant free boundary annuli and Möbius bands in
Ailana Fraser, Pam Sargent
We explicitly classify all -invariant free boundary minimal annuli and Möbius bands in . This classification is obtained from an analysis of the spectrum of the…
Shape optimization for the Steklov problem in higher dimensions
Ailana Fraser, Richard Schoen
We show that the ball does not maximize the first nonzero Steklov eigenvalue among all contractible domains of fixed boundary volume in when . This is in c…
Existence of harmonic maps into CAT(1) spaces
Christine Breiner, Ailana Fraser, Lan-Hsuan Huang +3
Let where is a compact Riemann surface, is a compact locally CAT(1) space, and is defined as in Korevaar-Schoen. We use the tec…