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

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.