Showing math.APShow all
3 papers · 1 filter
math.AP2026
Bivariate Hardy-Sobolev Inequality and Its Sharp Stability
Yingfang Zhang, Xuexiu Zhong, Wenming Zou
This paper establishes a bivariate Hardy-Sobolev inequality. Let () be an open domain, , , with , and $κ\i…
math.AP2023
Two Positive Normalized Solutions and Phase Separation for Coupled Schrödinger Equations on Bounded Domain with L2-Supercritical and Sobolev Critical or Subcritical Exponent
Linjie Song, Wenming Zou
In this paper we study the existence of positive normalized solutions of the following coupled Schrödinger system: \begin{align} \left\{ \begin{aligned} & -Δu = λ_u u + μ_1 u^3 + β…
math.AP2023
Normalized solutions to Schödinger equations with potential and inhomogeneous nonlinearities on large convex domains
Thomas Bartsch, Shijie Qi, Wenming Zou
The paper addresses an open problem raised in [Bartsch, Molle, Rizzi, Verzini: Normalized solutions of mass supercritical Schrödinger equations with potential, Comm. Part. Diff. Eq…