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

collaborators

Showing 2016Show all

3 papers · 1 filter

math.CA2016★ 8 cited

Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems

Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin +1

We study the spectral polynomial of the Treibich-Verdier potential. Such spectral polynomial, which is a generalization of the classical Lame polynomial, plays fundamental roles in…

math.AP2016

Non-existence of solutions for a mean field equation on flat tori at critical parameter $16 π$

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

It is known from \cite{LW} that the solvability of the mean field equation $Δ u + e^{u} = 8 nπ δ_{0}$ with $n \in N_{\geq 1}$ on a flat torus $E_{τ}$ essentially depends on the geome…

math.CA2016★ 5 cited

Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation, I

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

In this paper, we study the Painlevé VI equation with parameter $(\frac{9}{8}, \frac{- 1}{8}, \frac{1}{8}, \frac{3}{8})$ . We prove (i) An explicit formula to count the number of poles…

Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems

Non-existence of solutions for a mean field equation on flat tori at critical parameter 16π

Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation, I

Non-existence of solutions for a mean field equation on flat tori at critical parameter $16 π$