摘要
We consider the logarithmic elliptic equation with singular nonlinearity {Δu+ulogu^(2)+λ/u^(γ)=0,in Ω,u>0,in Ω,u=0,on δΩ,where Ω⊂R^(N)(N≥3)is a bounded domain with a smooth boundary,0<γ<1 andλis a positive constant.By using a variational method and the critical point theory for a nonsmooth functional,we obtain the existence of two positive solutions.This result generalizes and improves upon recent results in the literature.
基金
supported by Natural Science Foundation of Guizhou Minzu University(20185773-YB03)
supported by Fundamental Research Funds of China West Normal University(18B015)
Innovative Research Team of China West Normal University(CXTD2018-8)
supported by National Natural Science Foundation of China(11861021)
supported by National Natural Science Foundation of China(11661021)。
