An ecological model with the p-Laplacian and diffusion  

作　　者：S. H. Rasouli 

机构地区：[1]Department of Mathematics, Faculty of Basic Sciences Babol University of Technology, Babol, Iran

出　　处：《International Journal of Biomathematics》2016年第1期157-163,共7页生物数学学报（英文版）

摘　　要：We study the existence of positive solutions of a population model with diffusion of the form {-△pu=aup-1-f（u）-c/ua,x∈Ω,u=0,x∈Ω where △p denotes the p-Laplacian operator defined by △pz =div（｜z｜P-2z）, p 〉 1, Ω is a bounded domain of RN with smooth boundary, α∈ C （0, 1）, a and e are positive constants. Here f ： [0, ∞） → R is a continuous function. This model arises in the studies of population biology of one species with u representing the concentration of the species. We discuss the existence of positive solution when f satisfies certain additional conditions. We use the method of sub- and super-solutions to establish our results.

关 键 词：Ecological model infinite semipositone sub- and super-solutions. 

分 类 号：O175.8[理学—数学] Q141[理学—基础数学]