12 citations · 26 across the 7 of their papers we have counts for
7 papers
On a doubly critical Schrödinger system in $\bbr^4$ with steep potential wells
Yuanze Wu, Wenming Zou
Study the following two-component elliptic system% \begin{equation*} \left\{\aligned&Δu-(λa(x)+a_0)u+u^3+βv^2u=0\quad&\text{in }\bbr^4,\\% &Δv-(λb(x)+b_0)v+v^3+βu^2v=0\quad&\text{i…
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}{…
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^{…