Zhijie Chen

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math.AP2026

Sharp criteria for the existence of solutions to curvature equations with two singular sources on rectangular torus

Zhijie Chen, Zhen Song

We study the following curvature equation with two singular sources on a flat torus $Δ u + e^{u} = 8 π (δ_{p} + δ_{- p}) on E_{τ} := C / (Z + Z τ),$ where $δ_{p}$ …

math.AP2025

Sharp stability on the second Robin eigenvalue with negative boundary parameters

Zhijie Chen, Zhen Song, Wenming Zou

In this paper, we prove a quantitative refinement of the isoperimetric type inequality for the second Robin eigenvalue with negative boundary parameters established by Freitas and…