ON INDEFINITE SUBLINEAR ELLIPTIC EQUATIONS  

作　　者：YANG Hai tao WU Shao ping (Department of Mathematics, Zhejiang University, Hangzhou 310027, China) 

出　　处：《Systems Science and Mathematical Sciences》2000年第1期48-58,共11页

摘　　要：1.IntroductionLetnCRN,N23,beasmoothboundeddomainandconsiderthesemilinearellipticequationswhereatbELoc(Q),AERIisaparameter.Itisasimplifiedmodelforsomeproblemsinpopulationdynamicsandinreaction-diffusionprocessess(seethereferencesof[1]).Bytheresultsof[...The existence, uniqueness, multiplicity and asymptotic behavior of the solutions to the equation -△u=λu+a(x)up,u>0 inΩ u=0 on Ω are studied by means of variational and sub-sup-solution methods, where 0 < q < p < 1, Ω RN with N≥3 is a smooth bounded domain, a,b∈E L∞(Ω) and λ∈R1 is a parameter.

关 键 词：SUBLINEAR ELLIPTIC EQUATION CRITICAL point theory sub-sup-solution. 

分 类 号：O175[理学—数学]