论文标题
P-Laplace操作员的绿色功能
The Green function for p-Laplace operators
论文作者
论文摘要
在有限的域$ω\ subset \ mathbb {r}^n $，$ n \ geq 2 $上，我们考虑绿色功能的存在，独特性和“规律性”问题$g_λ$ quasi-linear operator $ u \ u \ u \ to-Δ_pu-λ| $λ<λ_1$，其中$λ_1> 0 $是$-Δ_P$的第一个特征值。
On a bounded domain $Ω\subset \mathbb{R}^N$, $N\geq 2$, we consider existence, uniqueness and "regularity" issues for the Green function $G_λ$ of the quasi-linear operator $u \to -Δ_p u-λ|u|^{p-2}u$ with $1<p \leq N$, homogeneous Dirichlet boundary condition and $λ<λ_1$, where $λ_1>0$ is the first eigenvalue of $-Δ_p$.
