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ON INDEFINITE SUBLINEAR ELLIPTIC EQUATIONS 被引量:1

ON INDEFINITE SUBLINEAR ELLIPTIC EQUATIONS
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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.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 2000年第1期48-58,共11页
关键词 SUBLINEAR ELLIPTIC EQUATION CRITICAL point theory sub-sup-solution. Sublinear elliptic equation, critical point theory, sub-sup-solution.
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