2 papers
math.AP2025
Solutions for a critical elliptic system with periodic boundary condition
Qingfang Wang, Wenju Wu, Mingxue Zhai
In this paper, we consider the following nonlinear critical Schrödinger system: \begin{eqnarray*}\begin{cases} -Îu=K_1(y)u^{2^*-1}+\frac{1}{2} u^{\frac{2^*}{2}-1}v^\frac{2^*}{2},…
math.AP2025
Normalized Solutions for nonlinear Schrödinger-Poisson equations involving nearly mass-critical exponents
Qidong Guo, Rui He, Qiaoqiao Hua +1
We study the Schrödinger-Poisson-Slater equation \begin{equation*}\left\{\begin{array}{lll} -Îu + λu + \big(|x|^{-1} \ast |u|^{2}\big)u = V(x) u^{ p_{\varepsilon}-1 }, \, \text{…