10 citations · 30 across the 10 of their papers we have counts for
4 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)}%…