2 papers
math.AP2026
Liouville theorems and symmetry of positive solutions for partially confined nonlinear Schrödinger equations
Zhijie Chen, Youjun Wang, Jianjun Zhang +1
We study positive solutions of the partially confined stationary nonlinear Schrödinger equation $$-Δu+|y|^2u+λu=g(u),\quad (y,z)\in\mathbb{R}^d\times\mathbb{R}^{m},\quad 1\leq d<N,…
math.AP2026
Qualitative analysis of positive singular solutions for a critical elliptic system in a punctured ball
Zhijie Chen, Hui Yang, Junzhao Yu
We study qualitative properties of positive singular solutions to a weakly coupled elliptic system with critical exponents in a punctured ball. We give a sharp criterion on the rem…