7 citations · 28 across the 17 of their papers we have counts for
5 papers · 1 filter
On finding solutions of a Kirchhoff type problem
Yisheng Huang, Zeng Liu, Yuanze Wu
Consider the following Kirchhoff type problem $$ \left\{\aligned -\bigg(a+b\int_{\mathbb{B}_R}|\nabla u|^2dx\bigg)Δu&= λu^{q-1} + μu^{p-1}, &\quad \text{in}\mathbb{B}_R, \\ u&>0,&\…
On Kirchhoff type equations with critical Sobolev exponent and Naimen's open problems
Yisheng Huang, Zeng Liu, Yuanze Wu
We study the following Brezis-Nirenberg problem of Kirchhoff type $$ \left\{\aligned &-(a+b\int_Ω|\nabla u|^2dx)Δu = λ|u|^{q-2}u + δ|u|^{2}u, &\quad \text{in}\ Ω, \\ &u=0,& \text{o…
On a Kirchhoff type problems with potential well and indefinite potential
Yuanze Wu, Yisheng Huang, Zeng Liu
In this paper, we study the following Kirchhoff type problem:% $$ \left\{\aligned&-\bigg(α\int_{\bbr^3}|\nabla u|^2dx+1\bigg)Δu+(λa(x)+a_0)u=|u|^{p-2}u&\text{ in }\bbr^3,\\% &u\in\…
On a biharmonic equations with steep potential well and indefinite potential
Yisheng Huang, Zeng Liu, Yuanze Wu
In this paper, we study the following biharmonic equations:% $$ \left\{\aligned&Δ^2u-a_0Δu+(λb(x)+b_0)u=f(u)&\text{ in }\bbr^N,\\% &u\in\h,\endaligned\right.\eqno{(\mathcal{P}_λ)}%…
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…