activity
20242026
most citedOn the non-existence of solutions of the Dirichlet problem for the minimal surface system

1 citations · 1 across the 4 of their papers we have counts for

collaborators

7 papers

math.DG2026

The Geometry and Dynamics of Spiral Minimal Products

Haizhong Li, Yongsheng Zhang

We study spiral products , formed from spherical -totally real immersions , with , and…

math.DG20261 cited

On the non-existence of solutions of the Dirichlet problem for the minimal surface system

Yongsheng Zhang

In this paper we study the non-existence of solutions to the Dirichlet problem for minimal graphs of codimension , including certain situations over domain even with n…

math.DG2026

Cones over minimal products cannot be calibrated by smooth calibrations

Yongsheng Zhang

We extend a key result in [Zha26], by establishing the obstruction that the minimal product structure (for minimal submanifolds or stationary currents in spheres) automatically mak…

math.DG2026

Detect duality obstruction of calibrations in smooth category

Yongsheng Zhang

This paper consists of three parts: (a) exhibit a new gluing result which can dramatically simplify extensions of calibration pairs; (b) observe that every Lawlor cone can support…

math.DG2026

Some configuration results for area-minimizing cones

Yongsheng Zhang

We discover some very general configuration results for constructing area-minimizing cones. In particular, given any closed minimal submanifold in some Euclidean sphere, every cone…

math.DG2025

Verifying spiral minimal product structure through the Takahashi Theorem

Yongsheng Zhang

We verify the spiral minimal product structure through the Takahashi Theorem with full computational details which were omitted in [LZ].