论文标题
改进的存在标准和最佳结果
An improved existence criterion and an optimal result
论文作者
论文摘要
我们关注的是在平滑有限域上的半线性椭圆方程式，$ \ mathbb {r}^n，\，n \ geq 5，$，涉及关键的非线性和$ k（x）u^（x）u^{（n+2）/（n-2）/（n-2）/（n-2）/（n-2）} $和$ us的线性项。通过使用测试功能过程，我们给出了涉及参数$μ$的存在标准，以及$ k（x）的函数$ k（x）。$ $对于$ω，\，k（x）$和$ n，$，我们通过pohozaev类型的身份证明其最佳性。
We are concerned with a semi-linear elliptic equation on a smooth bounded domain $Ω$ of $\mathbb{R}^n,\,n\geq 5,$ which involves a critical nonlinearity and a linear term of the form $K(x)u^{(n+2)/(n-2)}$ and $μu,$ respectively. By using a test function procedure, we give an existence criterion involving the parameter $μ$ and the function $K(x).$ For a particular case of $Ω,\,K(x)$ and $n,$ we prove its optimality through a Pohozaev type identity.
