Hong-Ge Chen

works on

cubic schrodinger system 1 positive solutions 1 radial symmetry 1 uniqueness 1 weak coupling 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.AP2026

On Sirakov's equal-frequency uniqueness conjecture

Hong-Ge Chen, Yong Liu, Juncheng Wei +1

The authors prove that the equal-frequency two-component cubic Schrödinger system in two and three dimensions has exactly one positive solution (up to simultaneous translation), co…

math.AP2026

Finite Potential Energy for Entire Solutions of the Planar Ginzburg--Landau Equation

Hongge Chen, Juncheng Wei, Haicheng Yan +1

We prove that every smooth entire solution $u : R^{2} \to R^{2}$ of the Ginzburg--Landau equation $- I^ u = u (1 - ∣ u ∣^{2})$ with $∣ u (x) ∣ \to 1$ as $∣ x ∣ \to \infty$ has f…

math.NT2026

A Pfaffian Proof and Generalization of a Conjecture of Sun Zhiwei

Hong-Ge Chen, Fei Liu

Let $p$ be an odd prime, let $n = (p - 1) /2$ , and let $I ¨ = (\frac{\cdot}{p})$ , with $I ¨ (0) = 0$ . For $a \in F_{p}^{\times}$ define \[ D_a(x)=\det_{1\le i,j\le n}(x+Ï(i^2-aj)), \qquad D…