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math.AP2022
Stability of the Catenoid for the Hyperbolic Vanishing Mean Curvature Equation Outside Symmetry
Jonas Luhrmann, Sung-Jin Oh, Sohrab Shahshahani
We study the problem of stability of the catenoid, which is an asymptotically flat rotationally symmetric minimal surface in Euclidean space, viewed as a stationary solution to the…
math.AP2022★ 1 cited
Soliton resolution for equivariant self-dual Chern-Simons-Schrödinger equation in weighted Sobolev class
Kihyun Kim, Soonsik Kwon, Sung-Jin Oh
We consider the self-dual Chern-Simons-Schrödinger equation (CSS) under equivariant symmetry, which is a -critical equation. It is known that (CSS) admits solitons and finit…