一类带有Dirichlet边界条件的分数阶对流弥散方程解的多重性
Multiple Solutions for a Class of Fractional Advection-Dispersion Equation with Dirichlet Boundary Conditions
DOI: 10.12677/AAM.2020.96112, PDF,    国家自然科学基金支持
作者: 王 怡：南京航空航天大学数学系，江苏 南京
关键词: 分数阶对流弥散方程；耦合系统；变分方法；多重解；Fractional Advection-Dispersion Equation； Coupled System； Variational Methods； Multiple Solutions
摘要: 本文研究了带有Dirichlet边界条件的分数阶对流弥散方程耦合系统的多解问题。基于变分方法和一个三临界点定理，我们得到了该分数阶系统至少有三个解的结果。
Abstract: This article concerns multiple solutions for a coupled system of fractional advection-dispersion equation with Dirichlet boundary conditions. Using variational methods and a three-critical point theorem, we obtain that the fractional system has at least three solutions.
文章引用：王怡. 一类带有Dirichlet边界条件的分数阶对流弥散方程解的多重性[J]. 应用数学进展, 2020, 9(6): 947-958. https://doi.org/10.12677/AAM.2020.96112

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