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.