4 papers
Cubic Nonlinear Schrödinger Systems and Orthonormal Fermionic Ground States in
Bin Chen, Yujin Guo, Yong Luo +1
We study the one-dimensional nonlinear Schrödinger system \[ -u_i''-2\Big(\sum_{k=1}^N u_k^2\Big)^{p-1}u_i=μ_i u_i \quad \mbox{in } \ \mathbb R,\ \ i=1,2,\cdots,N, \tag{S} \] where…
Complete Classification and Nondegeneracy of -Component Cubic Nonlinear Schrödinger System in
Yujin Guo, Yong Luo, Juncheng Wei
We study the one-dimensional cubic nonlinear Schrödinger system \[ u_i''+2\left(\sum_{k=1}^N u_k^2\right)u_i=-μ_i u_i \quad \mbox{in } \ \mathbb R,\ \ i=1,2,\cdots,N, \] where $u=(…
On Brezis' First Open Problem: A Complete Solution
Liming Sun, Juncheng Wei, Wen Yang
In 2023, H.\,Brezis published a list of his ``favorite open problems", which he described as challenges he had ``raised throughout his career and has resisted so far". We provide a…
Quantitative stability of harmonic maps from to with higher degree
Bin Deng, Liming Sun, Juncheng Wei
For degree harmonic maps from (or ) to , Bernand-Mantel, Muratov and Simon \cite{bernand2021quantitative} recently establish a un…