An Existence Result for a Class of Chemically Reacting Systems with Sign-Changing Weights  

作　　者：RASOULI S. H. NOROUZI H. 

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

出　　处：《Journal of Partial Differential Equations》2015年第1期1-8,共8页偏微分方程（英文版）

摘　　要：We prove the existence of positive solutions for the system {-△pu=λa（x）f（v）u^-a x∈Ω -△qv=λb（x）g（u）v^-β,x∈Ω u=v=0xEf,x∈Ωwhere △rz =-div（｜z｜^r-2 z）, for r 〉1 denotes the r-Laplacian operator and λ is a positive parameter, Ω is a bounded domain in R^n, n≥ 1 with sufficiently smooth boundary and a, E （0,1）. Here a（x） and b（x） are C1 sign-changing functions that maybe negative near the boundary and f,g are C1 nondecreasing functions, such that f,g： [0,∞） → [0,∞）; f（s） 〉,0,g（s） 〉0 for s〉0, lims→∞g（s） =∞ and lim s→∞ f（Mg（s）1/q-1）/s^p-1＋a=0 M〉0We discuss the existence of positive weak solutions when f, g, a（x） and b（x） satisfy certain additional conditions. We employ the method of sub-supersolution to obtain our results.

关 键 词：Positive solutions chemically reacting systems sub-supersolutions. 

分 类 号：O175.25[理学—数学] O175.8[理学—基础数学]