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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Showing 2021Show all

3 papers · 1 filter

math.AP2021

On number and evenness of solutions of the $S U (3)$ Toda system on flat tori with non-critical parameters

Zhijie Chen, Chang-Shou Lin

We study the $S U (3)$ Toda system with singular sources \[ \begin{cases} Δu+2e^{u}-e^v=4π\sum_{k=0}^m n_{1,k}δ_{p_k}\quad\text{ on }\; E_τ,\\ Δv+2e^{v}-e^u=4π\sum_{k=0}^m n_{2,k}δ_{…

math.NT2021

Modular Ordinary Differential Equations on $SL (2, Z)$ of Third Order and Applications

Zhijie Chen, Chang-Shou Lin, Yifan Yang

In this paper, we study third-order modular ordinary differential equations (MODE for short) of the following form $y^{'''} + Q_{2} (z) y^{'} + Q_{3} (z) y = 0$ , $z\in\mathbb{H}=\{z\in\mathbb{C} \,|\,…

math.NT2021

Proof of a conjecture of Dahmen and Beukers on counting integral Lamé equations with finite monodromy

Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin

In this paper, we prove Dahmen and Beukers' conjecture that the number of integral Lamé equations with index $n$ modulo scalar equivalence with the monodromy group dihedral $D_{N}$ …

On number and evenness of solutions of the SU(3) Toda system on flat tori with non-critical parameters

Modular Ordinary Differential Equations on SL(2,Z) of Third Order and Applications

Proof of a conjecture of Dahmen and Beukers on counting integral Lamé equations with finite monodromy

On number and evenness of solutions of the $S U (3)$ Toda system on flat tori with non-critical parameters

Modular Ordinary Differential Equations on $SL (2, Z)$ of Third Order and Applications