Study of a generalized logistic equation with nonlocal reaction term

Abstract In this paper, we consider the generalized logistic equation with nonlocal reaction term −Δu=u(λ+b∫Ωurdx−f(u))in Ω,u>0 in Ω,u=0 on ∂Ω. $$ -\Delta u=u \biggl(\lambda +b \int_{\Omega }u^{r}\,dx-f(u) \biggr)\quad \text{in } \Omega,\qquad u>0 \quad \text{ in } \Omega,\qquad u=0 \quad \tex...

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Bibliographic Details
Main Authors: Jianhua Zhou, Ge Gao, Baoqiang Yan
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1066-z