磁性方程三个解的存在性
Existence of Three Solutions for a Magnetic Equation
摘要: 这篇文章中，我们致力于研究磁性方程：

其中，Ω∈ℝN是一个具有光滑边界的有界开集，A=（A1，A2，…，An）：ℝN→ℝN是一个磁性位势，∇A=-i∇+A，-ΔA：=（-i∇+A）2 。在f，V，h满足一定条件时，此方程至少含有三个解。

In this thesis, we focus our attention on the equation with magnetic field.

Abstract: where Ω∈ℝN is a bounded open set with smooth boundary, A=（A1，A2，…，An）：ℝN→ℝN is a magnetic field, ∇A=-i∇+A，-ΔA：=（-i∇+A）2. And we implied that there are at least three so-lutions in this problem when f，V，h satisfy suitable assumptions.
文章引用：侯安然, 李月. 磁性方程三个解的存在性[J]. 理论数学, 2019, 9(3): 299-307. https://doi.org/10.12677/PM.2019.93040

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