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Profil bibliographique

Jonathan J. Zhu

Informations fournies par OpenAlex. Research Africa ne déduit ni nationalité, ni poste, ni coordonnées personnelles.

51Publications signalées
322Citations signalées
1Affiliations récentes

Les institutions déclarées

Les domaines associés

Geometric Analysis and Curvature FlowsGeometry and complex manifoldsGeometric and Algebraic TopologyPoint processes and geometric inequalitiesNonlinear Partial Differential Equations

Les publications récentes

Accès ouvert 2026 preprint OpenAlex

Uniqueness of free boundary minimal annuli

Davide Parise, Jonathan J. Zhu

We prove that every smooth properly embedded free-boundary minimal annulus in the unit ball is congruent to the critical catenoid. We also classify positive solutions of $(Δ_{\mathbb{S}^2}+2)u=0$ on smooth spherical annuli with $u=0$ and $|\nabla u|=1$ on the boundary; their one-homogeneous extensions …

0 citations arXiv (Cornell University)
Accès ouvert 2025 preprint OpenAlex

Free boundary and capillary minimal surfaces in spherical caps II: Low energy

Jonathan J. Zhu

This is the second of two articles in which we investigate the geometry of free boundary and capillary minimal surfaces in balls $B_R\subset\mathbb{S}^3$. In this article, we find monotonicity formulae which imply that capillary minimal surfaces maximise a certain modified energy in …

us (code pays fourni par la source)

0 citations arXiv (Cornell University)
2025 article OpenAlex

Uniqueness of Blowups for Forced Mean Curvature Flow

Sven Hirsch, Jonathan J. Zhu

Abstract We prove uniqueness of tangent cones for forced mean curvature flow, at both closed self-shrinkers and round cylindrical self-shrinkers, in any codimension. The corresponding results for mean curvature flow in Euclidean space were proven by Schulze and Colding–Minicozzi, respectively. We adapt …

us, fr (code pays fourni par la source)

1 citation International Mathematics Research Notices
Accès ouvert 2025 article OpenAlex

Łojasiewicz inequalities, uniqueness and rigidity for cylindrical self-shrinkers

Jonathan J. Zhu

We establish Łojasiewicz inequalities for a class of cylindrical self-shrinkers for the mean curvature flow, which includes round cylinders and cylinders over Abresch-Langer curves, in any codimension. We deduce the uniqueness of blowups at singularities modelled on this class of cylinders, and …

us (code pays fourni par la source)

2 citations Cambridge Journal of Mathematics

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