108 citations · 155 across the 23 of their papers we have counts for
6 papers · 1 filter
Existence of extremal functions for a family of Caffarelli-Kohn-Nirenberg inequalities
Xuexiu Zhong, Wenming Zou
Consider the following inequalities due to Caffarelli, Kohn and Nirenberg {\it (Compositio Mathematica,1984):} $$\Big(\int_Ω\frac{|u|^r}{|x|^s}dx\Big)^{\frac{1}{r}}\leq C(p,q,r,μ,σ…
On Elliptic Systems involving critical Hardy-Sobolev exponents (Part II)
Xuexiu Zhong, Wenming Zou
This paper is the second part of a work devoted to the study of elliptic systems involving multiple Hardy-Sobolev critical exponents: $$\begin{cases} -Δu-λ\frac{|u|^{2^*(s_1)-2}u}{…
A nonlinear elliptic PDE with multiple Hardy-Sobolev critical exponents in
Xuexiu Zhong, Wenming Zou
In this paper, we will study the following PDE in involving multiple Hardy-Sobolev critical exponents: $$ \begin{cases} Δu+\sum_{i=1}^{l}λ_i \frac{u^{2^*(s_i)-1}}{|x…
On Elliptic Systems involving critical Hardy-Sobolev exponents
Xuexiu Zhong, Wenming Zou
Let () be an open domain which is not necessarily bounded. By using variational methods, we consider the following elliptic systems involving multiple Hard…
A perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponents
Xuexiu Zhong, Wenming Zou
Let be a open bounded domain in () with . Suppose that is at and the mean curvature of at is negati…
On coupled Schrödinger systems with double critical exponents and indefinite weights
Xuexiu Zhong, Wenming Zou
By using variational methods, we study the existence of mountain pass solution to the following doubly critical Schrödinger system: $$ \begin{cases} -Δu-μ_1\frac{u}{|x|^2}-|u|^{2^{…