整数阶Choquard方程三解的存在性
Existence of Three Solutions for a Choquard Equation
DOI: 10.12677/PM.2019.93039, PDF,   
作者: 李 月, 侯安然：云南师范大学数学学院，云南 昆明
关键词: Choquard方程；三临界点；Choquard Equation； Three Critical Points
摘要: 应用[1]中的Theorem 1.1来研究下面的方程 其中， 是具有光滑边界的有界开集，h∈L2(Ω)，0＜μ＜3,4＜p＜6，β＞0，λ＞0。非线性函数f∈C（ℝ，ℝ）在满足一定条件下得出该方程至少有三个弱解。
Abstract:

We study the following Choquard equation by the Theorem 1.1 in [1]

where,   is an open, and bounded domain with a smooth boundary, h∈L2(Ω)，0＜μ＜3,4＜p＜6，β＞0，λ＞0 . Under suitable assumption f∈C（ℝ，ℝ） , we prove this problem at least three weak solutions.

文章引用：李月, 侯安然. 整数阶Choquard方程三解的存在性[J]. 理论数学, 2019, 9(3): 291-298. https://doi.org/10.12677/PM.2019.93039

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