负模量基尔霍夫型问题进展  

A Review on Kirchhoff-type Problem with Negative Modulus

作　　者：王跃 WANG Yue(School of Mathematics and Statistics,Guizhou University,Guiyang 550025,China)

机构地区：[1]贵州大学数学与统计学院,贵阳550025

出　　处：《应用泛函分析学报》2020年第4期230-258,共29页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11661021);贵州省研究生科研基金立项项目:几类时定系统的最优控制。

摘　　要：本文主要对带有负模量的非局部新Kirchhoff型问题的研究进展做详细叙述,并融入作者对这类问题思考的一些结果.全篇从这类问题的最初研究出发,按照相关结果出现的时间顺序,作者尽可能地将国内外已有的研究情况叙述清楚,力图为对这类问题感兴趣的研究者提供一个相对比较全面的研究背景和理论基础.This paper is a review on the nonlocal new Kirchhoff-type problems with negative modulus in details and gives some results of authors’ thought.The fundamental point of the whole article is that,with starting from the first research on this type of problem,the author tries to describe the existing research situation around the world as clearly as possible in accordance with the chronological order of the time sequence of the relevant results appeared,and strives to be interested in the research of this type of problem.The author’s purpose is trying to provide a relatively comprehensive background and theoretical basis for researchers interested in such problems.

关 键 词：非局部问题 负模量 新Kirchhoff型问题 

分 类 号：O177[理学—数学] O175[理学—基础数学]