The limit as $$p\rightarrow \infty $$p→∞ in the eigenvalue problem for a system of p-Laplacians
The limit as $$p\rightarrow \infty $$p→∞ in the eigenvalue problem for a system of p-Laplacians
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p-拉普拉斯系统的特征值问题中的极限为 $$p ightarrow infty $$p→∞
DOI：
10.1007/s10231-015-0547-2
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
N. Saintier
中科院分区：
文献类型：
--
作者：
D. Bonheure;J. Rossi;N. Saintier
在本文中，我们研究 p-拉普拉斯系统的特征值和特征函数的行为 asp → Infini，即 $$\begin{aligned} \left\{ \begin{array}{ll} -\Delta _p u = \lambda \alpha u^{\alpha -1} v^\beta &{}\quad \Omega , \\ -\Delta _p v = \lambda \beta u^{\alpha } v^{\beta -1} &{}\quad \Omega ， \\ u=v=0 ， &{} \quad \partial \Omega ， \end{array} \right。 \end{aligned}$$ - Δ p u = λ α u α - 1 v β Ω , - Δ p v = λ β u α v β - 1 Ω , u = v = 0 , ∂ Ω ，在有界平滑域 Ω 中。这里 α + β = p 。我们假设 α p → Γ 且...
In this paper, we study the behavior asp → ∞ of eigenvalues and eigenfunctions of a system of p-Laplacians, that is $$\begin{aligned} \left\{ \begin{array}{ll} -\Delta _p u = \lambda \alpha u^{\alpha -1} v^\beta &{}\quad \Omega , \\ -\Delta _p v = \lambda \beta u^{\alpha } v^{\beta -1} &{}\quad \Omega , \\ u=v=0, &{} \quad \partial \Omega , \end{array} \right. \end{aligned}$$ - Δ p u = λ α u α - 1 v β Ω , - Δ p v = λ β u α v β - 1 Ω , u = v = 0 , ∂ Ω , in a bounded smooth domainΩ . Hereα + β = p . We assume thatα p → Γ and …