一维有界区域上单稳态方程多重正解的存在性  

Existence of multiple positive solutions for monostable equations in one-dimensional bounded domains

作　　者：周梦丹 宋佳树 陆俊帆 ZHOU Mengdan;SONG Jiashu;LU Junfan(Mathematics and Science College,Shanghai Normal University,Shanghai 200234,China)

机构地区：[1]上海师范大学数理学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2022年第3期288-293,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：国家自然科学基金(12071299)。

摘　　要：研究了一维有界区域上第一类边界条件下的单稳态反应扩散方程,对于任意给定的正整数n,构造了一类单稳态非线性项,使得问题至少存在n个正平衡解.In this paper,we study the monostable reaction-diffusion equation with the first boundary condition in one-dimensional bounded domains.For any given positive integer n,a class of monostable nonlinear terms is constructed such that there are at least n positive equilibrium solutions.

关 键 词：反应扩散方程 单稳态方程 平衡解 多重正解 

分 类 号：O175.25[理学—数学]