文献详情
Positive solutions for diffusive Logistic equation with refuge
文献类型：期刊
通讯作者：Sun, JW (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.; Sun, JW (reprint author), Renmin Univ China, Inst Math Sci, Beijing 100872, Peoples R China.
期刊名称：ADVANCES IN NONLINEAR ANALYSIS影响因子和分区
年：2020
卷：9
期：1
页码：1092-1101
ISSN：2191-9496
关键词：Reaction-diffusion; Positive solution; Profile
所属部门：数学科学研究院
摘要：In this paper, we study the stationary solutions of the Logistic equation u(t) = D[u] + lambda u - [b(x) + epsilon]u(p) in Omega with Dirichlet boundary condition, here D is a diffusion operator and epsilon > 0, p > 1. The weight function b(x) is nonnegative and vanishes in a smooth subdomain Omega(0) of Omega. We investigate the asymptotic profiles of positive stationary solutions with the critical value lambda when epsilon is sufficiently small. We find that the profiles are different be ...More
In this paper, we study the stationary solutions of the Logistic equation u(t) = D[u] + lambda u - [b(x) + epsilon]u(p) in Omega with Dirichlet boundary condition, here D is a diffusion operator and epsilon > 0, p > 1. The weight function b(x) is nonnegative and vanishes in a smooth subdomain Omega(0) of Omega. We investigate the asymptotic profiles of positive stationary solutions with the critical value lambda when epsilon is sufficiently small. We find that the profiles are different between nonlocal and classical diffusion equations. ...Hide

DOI：10.1515/anona-2020-0036
百度学术：Positive solutions for diffusive Logistic equation with refuge
语言：外文
被引频次：1
基金：NSF of ChinaNational Natural Science Foundation of China [11731005, 11401277]
作者其他论文



Positive eigenfunctions for nonlocal dispersal problems.Sun, Jian-Wen,.APPLIED MATHEMATICS LETTERS. 2020, 99.
Positive solutions for nonlocal dispersal equation with spatial degeneracy.Sun, Jian-Wen,.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. 2018, 69(1).