2 papers
math.AP2026
Uniqueness of bound states to the logarithmic Schrödinger equation
Tianhao Liu, Xin Sun, Wenming Zou
This paper studies the uniqueness of bound states for the problem Îu + u\log u ^2=0, \quad u\in H^1(\RN), \quad n\geq 2, which arises from the logarithmic Schrödinger equation. W…
math.AP2026
Sharp quantitative stability for the fractional Sobolev trace inequality
Yingfang Zhang, Yuxuan Zhou, Wenming Zou
In this paper, we study the stability of fractional Sobolev trace inequality within both the functional and critical point settings. In the functional setting, we establish the fol…