基于变分方法的脉冲微分方程Neumann边值问题多重解的存在性  

Variational Approach to Existence of Multiple Solutions for Neumann Boundary Value Problem of Impulsive Differential Equations

作　　者：廖丹 张慧萍[3] 姚旺进 Liao Dan;Zhang Huiping;Yao Wangjin(Key Laboratory of Applied Mathematics of Fujian Province University,Fujian Putian 351100;School of Mathematics and Finance,Putian University,Fujian Putian 351100;College of Mathematics and Statistics,Fujian Normal University,Fuzhou 350007)

机构地区：[1]应用数学福建省高校重点实验室,福建莆田351100 [2]莆田学院数学与金融学院,福建莆田351100 [3]福建师范大学数学与统计学院,福州350007

出　　处：《数学物理学报（A辑）》2023年第2期447-457,共11页Acta Mathematica Scientia

基　　金：福建省自然科学基金(2021J05237);福建省高校创新团队培育计划(2018-39)。

摘　　要：该文研究一类含有p-Laplacian算子的脉冲微分方程Neumann边值问题解的多重性.当非线性项不满足Ambrosetti-Rabinowitz条件时,通过变分方法获得该脉冲边值问题具有无穷多个古典解.In this paper,we consider the multiplicity of solutions for Neumann boundary value problem of impulsive differential equations with p-Laplacian operator.Under the assumption that the nonlinearity does not satisfy Ambrosetti-Rabinowitz condition,infinitely many classical solutions for the impulsive boundary value problem are obtained via variational method.

关 键 词：NEUMANN边值问题 CERAMI条件 变分方法 

分 类 号：O175.14[理学—数学]