3 papers
math.AP2025
Normalized vector solutions of nonlinear Schrödinger systems
Xiaomeng Huang, Angela Pistoia, Christophe Troestler +1
Given we look for solutions and of the system \[ \begin{cases} \displaystyle -Δv_i+ λv_i+V_i(x)v_i = \sum_{\substack{j=…
math.AP2024
Quantitative properties of the Hardy-type mean field equation
Lu Chen, Bohan Wang, Chunhua Wang
In this paper, we consider the following Hardy-type mean field equation \[ \left\{ {\begin{array}{*{20}{c}} { - Δu-\frac{1}{(1-|x|^2)^2} u = λe^u}, & {\rm in} \ \ B_1,\\ {\ \ \ \ u…
math.AP2024
Quantization analysis of Moser-Trudinger equations in the Poincaré disk and applications
Lu Chen, Qiaoqiao Hua, Guozhen Lu +2
In this paper, we first establish the quantitative properties for positive solutions to the Moser-Trudinger equations in the two-dimensional Poincaré disk : \begin{eq…