| 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. |
| 关键词: 反应扩散方程 单稳态方程 平衡解 多重正解 |
| DOI：10.3969/J.ISSN.1000-5137.2022.03.006 |
| 分类号:O175.25 |
| 基金项目:国家自然科学基金(12071299) |
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| Existence of multiple positive solutions for monostable equations in one-dimensional bounded domains |
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ZHOU Mengdan, SONG Jiashu, LU Junfan
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Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
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| Abstract: |
| 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. |
| Key words: reaction-diffusion equations monostable equations stationary solutions multiple positive solutions |
