most citedHessian estimates for convex solutions to quadratic Hessian equation

2 citations · 5 across the 6 of their papers we have counts for

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6 papers

math.DG20191 cited

Isolated Singularities of Yang-Mills-Higgs fields on surfaces

Bo Chen, Chong Song

We study isolated singularities of two dimensional Yang-Mills-Higgs fields defined on a fiber bundle, where the fiber space is a compact Riemannian manifold and the structure group…

math.DG20192 cited

Local existence and uniqueness of Skew Mean Curvature Flow

Chong Song

The Skew Mean Curvature Flow(SMCF) is a Schrödinger-type geometric flow canonically defined on a co-dimension two submanifold, which generalizes the famous vortex filament equation…

math.DG2019

Harmonic maps with free boundary from degenerating bordered Riemann surfaces

Lei Liu, Chong Song, Miaomiao Zhu

We study the blow-up analysis and qualitative behavior for a sequence of harmonic maps with free boundary from degenerating bordered Riemann surfaces with uniformly bounded energy.…

math.DG2017

Gauss map of the skew mean curvature flow

Chong Song

The skew mean curvature flow (SMCF) is a natural generalization of the famous vortex filament equation. In this note, we show that the Gauss map of the SMCF satisfies a Schrödinger…

math.DG2017

Uniqueness of Schrödinger flow on manifolds

Chong Song, Youde Wang

In this paper, we show the uniqueness of Schrödinger flow from a general complete Riemannian manifold to a complete Kähler manifold with bounded geometry. While following the ideas…

math.AP20172 cited

Hessian estimates for convex solutions to quadratic Hessian equation

Matt McGonagle, Chong Song, Yu Yuan

We derive Hessian estimates for convex solutions to quadratic Hessian equation by a compactness argument.