Zhijie Chen

activity

20122026

most citedPositive Least Energy Solutions and Phase Separation for Coupled Schrodinger Equations with Critical Exponent: Higher Dimensional Case

173 citations · 228 across the 28 of their papers we have counts for

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3 papers · 1 filter

math.AP2022

Sharp estimates, uniqueness and nondegeneracy of positive solutions of the Lane-Emden system in planar domains

Zhijie Chen, Houwang Li, Wenming Zou

We study the Lane-Emden system ${- Δ u = v^{p}, u > 0, in Ω, - Δ v = u^{q}, v > 0, in Ω, u = v = 0, on \partial Ω,$ where $Ω\subset…

math.CA2022

Co-Axial Metrics on the Sphere and Algebraic Numbers

Zhijie Chen, Chang-Shou Lin, Yifan Yang

In this paper, we consider the following curvature equation $$Δu+{\rm e}^u=4π\biggl((θ_0-1)δ_0+(θ_1-1)δ_1 +\sum_{j=1}^{n+m}\bigl(θ_j'-1\bigr)δ_{t_j}\biggr)\qquad \text{in}\ \mathbb…

math.CA2022

Monodromy of a generalized Lame equation of third order

Zhijie Chen, Chang-Shou Lin

We study the monodromy of the following third order linear differential equation \[y'''(z)-(α\wp(z;τ)+B)y'(z)+β\wp'(z;τ)y(z)=0, \] where $B \in C$ is a parameter, $℘ (z; τ)$ …