Steady-state bifurcation of a nonlinear boundary problem

被引：7
作者：
Wei, Dan [1 ]
Guo, Shangjiang [2 ]
机构：
[1] Hunan Univ, Coll Math, Changsha 410082, Hunan, Peoples R China
[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 128卷
基金：
中国国家自然科学基金;
关键词：
Nonlinear parabolic system; Nonlinear boundary condition; Lyapunov-Schmidt reduction; Existence; Steady-state bifurcation; STABLE EQUILIBRIA; DIFFUSION PROBLEM; EQUATIONS;
D O I：
10.1016/j.aml.2021.107902
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on a nonlinear parabolic system with nonlinear boundary conditions. Different from previous work, we not only adopt two different inhomogeneous environmental carrying capacity functions, but also consider the generalized nonlinear behavior of species. By applying Lyapunov-Schmidt reduction and implicit function theorem, we obtain the existence of the spatial inhomogeneous steady-state solutions bifurcating from trivial solutions of the nonlinear system. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：6
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