5 citations · 15 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…
On Elliptic Equations and Systems involving critical Hardy-Sobolev exponents (non-limit case)
Zhong Xuexiu, Zou Wenming
Let () be an open domain (may be unbounded) with and be of at with the negative mean curvature . By using vari…
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…
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^{…