23 citations · 122 across the 17 of their papers we have counts for
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math.DG2020★ 2 cited
On the Morse Index with Constraints I: An Abstract Formulation
Hung Tran, Detang Zhou
In this sequence, we first prove an abstract Morse index theorem in a Hilbert space modeling a variational problem with constraints. Then, our abstract formulation is applied to st…
math.DG2020★ 3 cited
On the Morse Index with Constraints II: Applications
Hung Tran, Detang Zhou
This is the second paper in our sequence. Here, we apply our abstract Morse index formulation developed in the previous paper to study several optimization set-ups with constraints…