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math.AP2016
On a critical Kirchhoff problem in high dimensions
Yisheng Huang, Zeng Liu, Yuanze Wu
In this paper, we consider the following Kirchhoff problem $$ \left\{\aligned -\bigg(a+b\int_Ω|\nabla u|^2dx\bigg)Δu&= λu^{q-1} + μu^{2^*-1}, &\quad \text{in }Ω, \\ u&>0,&\quad\tex…
math.AP2016★ 3 cited
Positive solutions to an elliptic equation in of the Kirchhoff type
Yisheng Huang, Zeng Liu, Yuanze Wu
In this paper, we consider the following Kirchhoff type problem $$\left\{\aligned&-\biggl(a + b\int_{\mathbb{R}^N} |\nabla u|^2 dx \biggr) Δu + V(x) u = |u|^{p-2}u &\text{ in } \ma…