53 citations · 307 across the 52 of their papers we have counts for
62 papers
A remark on projection outer volume ratio
A. E. Litvak
We study the projection outer volume ratio introduced by D. Galicer, A.E. Litvak, M. Merzbacher, and D. Pinasco. When , we provide sharp bounds in the…
On critical dimensions for compactness in the boundary Yamabe problem, I
Liuwei Gong, Seunghyeok Kim, Monica Musso +1
We construct smooth, non-locally-conformally-flat metrics on the closed ball for which the boundary Yamabe equation admits -unbounded sequences of positive solutions. The…
A Supercritical Problem in Dimension Two
Manuel del Pino, Ignacio Guerra, Monica Musso
Let be a smooth bounded domain containing the origin and invariant under reflection across the coordinate axes, and let , where is the f…
Nondegeneracy of the Sadovskii vortex
M. del Pino, M. Musso, J. Wei
We prove nondegeneracy, modulo horizontal translation, of the normalized Sadovskii vortex patch. Building on the free-boundary and root-map framework developed by Huang and Tong, w…
On the vortex filament conjecture for the Gross-Pitaevskii equation
Manuel del Pino, Rowan Juneman, Monica Musso +1
We establish one form of the vortex filament conjecture for the three-dimensional Gross-Pitaevskii equation. Given any smooth closed embedded binormal flow of curves on a compact t…
Nondegeneracy and Morse Index of Ginzburg--Landau Vortices
Manuel del Pino, Yong Liu, Monica Musso +2
We prove that the standard degree-two and degree-three vortex solutions of the Ginzburg-Landau equation are nondegenerate. Their Morse indices are also computed. The proof relies o…