1 citations · 1 across the 9 of their papers we have counts for
14 papers
Sharp quantitative stability of the Ashbaugh--Benguria inequality
Long-Han Huang, Yuxuan Zhou, Wenming Zou
We establish sharp quantitative stability of the Ashbaugh--Benguria inequality on bounded convex domains in . After volume and centroid normalization, the eigenvalue-r…
Sharp quantitative stability of the Hong--Krahn--Szegő inequality
Yuxuan Zhou, Wenming Zou
We establish sharp quantitative stability estimates for the Hong--Krahn--Szegő inequality for arbitrary open sets of positive finite measure in , . In dimension…
Improved Sobolev and Moser--Trudinger--Onofri Inequalities under Constraints: Sharpness and Quantitative Remainders
Yuxuan Zhou, Wenming Zou
In this paper, we study improved Sobolev and Moser--Trudinger--Onofri inequalities on the sphere under moment constraints, with particular emphasis on sharp leading constants and q…
Interior Regularity for Stable Solutions of Semilinear Elliptic Equations with Sign-Changing Nonlinearities
Long-Han Huang, Yuxuan Zhou, Wenming Zou
We investigate interior regularity for stable solutions of the semilinear elliptic equation in an open set , where is locally Lipschitz and m…
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…
A strong-form stability for a class of Caffarelli-Kohn-Nirenberg interpolation inequality
Yingfang Zhang, Wenming Zou
We study the stability of a class of Caffarelli-Kohn-Nirenberg (CKN) interpolation inequality and establish a strong-form stability as following: \begin{equation*} \inf_{v\in\mathc…
Degenerate stability of critical points of the Caffarelli-Kohn-Nirenberg inequality along the Felli-Schneider curve
Yuxuan Zhou, Wenming Zou
In this paper, we investigate the validity of a quantitative version of stability for the critical Hardy-Hénon equation \begin{equation*} H(u):=÷(|x|^{-2a}\nabla u)+|x|^{-pb}|u|^{p…
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,\\ \ &\…