X. Zhong

collaborators

4 papers

math.AP2026

Multiple positive solutions with prescribed masses for a coupled SchrÃ¶dinger system: mass mixed and Sobolev critical coupled case

Qing Guo, Qihan He, Wei Shuai +1

The aim of this paper is to establish multiple positive normalized solutions $(u, v, I^»_{1}, I^»_{2}) \in H^{1} (R^{N}, R^{2}) \times R^{2}$ to the following coupled SchrÃ¶d…

math.AP2026★ 2 cited

Sharp interaction estimates and their application: existence of normalized ground states to coupled SchrÃ¶dinger systems with potentials

Yinbin Deng, Qihan He, Xuexiu Zhong

In this paper, our aim is to prove the existence of normalized ground state for the following SchrÃ¶dinger systems with potentials $$\begin{cases} -Îu_1+V_1(x)u_1+Î»_1 u_1=\partia…

math.AP2026

Bivariate Hardy-Sobolev Inequality and Its Sharp Stability

Yingfang Zhang, Xuexiu Zhong, Wenming Zou

This paper establishes a bivariate Hardy-Sobolev inequality. Let $I^c ◯ \subset R^{N}$ ( $N \geq 3$ ) be an open domain, $s \in (0, 2)$ , $I^\pm > 1$ , $I^^{2} > 1$ with $I^\pm + I^^{2} = 2^{*} (s)$ , and…

math.AP2024

Normalized solutions to Kirchhoff type equations with a critical growth nonlinearity

Jian Zhang, Jianjun Zhang, Xuexiu Zhong

In this paper, we are concerned with normalized solutions of the Kirchhoff type equation \begin{equation*} -M\left(\int_{\R^N}|\nabla u|^2\mathrm{d} x\right)Îu = Î»u +f(u) \ \ \ma…