1 citations · 1 across the 9 of their papers we have counts for
7 papers · 2 filters
The stability on the Caffarelli-Kohn-Nirenberg and Hardy-type inequalities and beyond
Yuxuan Zhou, Wenming Zou
In this paper, we establish several improved Caffarelli-Kohn-Nirenberg and Hardy-type inequalities. Our main results are divided into two parts. In the first part, we consider the…
Classification of positive solutions to the Hénon-Sobolev critical systems
Yuxuan Zhou, Wenming Zou
In this paper, we investigate positive solutions to the following Hénon-Sobolev critical system: $$ -\mathrm{div}(|x|^{-2a}\nabla u)=|x|^{-bp}|u|^{p-2}u+να|x|^{-bp}|u|^{α-2}|v|^βu\…
Two Positive Normalized Solutions and Phase Separation for Coupled Schrödinger Equations on Bounded Domain with L2-Supercritical and Sobolev Critical or Subcritical Exponent
Linjie Song, Wenming Zou
In this paper we study the existence of positive normalized solutions of the following coupled Schrödinger system: \begin{align} \left\{ \begin{aligned} & -Δu = λ_u u + μ_1 u^3 + β…
Sign-changing solution for logarithmic elliptic equations with critical exponent
Tianhao Liu, Wenming Zou
In this paper, we consider the logarithmic elliptic equations with critical exponent \begin{equation} \begin{cases} -Δu=λu+ |u|^{2^*-2}u+θu\log u^2, \\ u \in H_0^1(Ω), \quad Ω\subs…
On the stability of critical points of the Hardy-Littlewood-Sobolev inequality
Kuan Liu, Qian Zhang, Wenming Zou
This paper is concerned with the quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality. Namely, we give quantitative estimates for the Choquard equat…
Normalized solutions to Schödinger equations with potential and inhomogeneous nonlinearities on large convex domains
Thomas Bartsch, Shijie Qi, Wenming Zou
The paper addresses an open problem raised in [Bartsch, Molle, Rizzi, Verzini: Normalized solutions of mass supercritical Schrödinger equations with potential, Comm. Part. Diff. Eq…
Existence and asymptotics of normalized solutions for logarithmic Schrödinger system
Qian Zhang, Wenming Zou
This paper is concerned with the following logarithmic Schrödinger system: $$\left\{\begin{align} \ &\ -Δu_1+ω_1u_1=μ_1 u_1\log u_1^2+\frac{2p}{p+q}|u_2|^{q}|u_1|^{p-2}u_1,\\ \ &\…