Abstract
The following singular elliptic boundary value problem is studied: Îu+λu âÎł+u p=0 in Ω, u>0 in Ω, u=0 on âΩ, where ΩâR N (Nâ©Ÿ3) is a bounded domain with smooth boundary âΩ, 0<Îł<1<pâ©œ N+2 Nâ2 , and λ>0 is a real parameter. The existence, multiplicity and asymptotic behavior (as pâ1) of solutions of this equation are discussed by combining variational and sub-supersolution methods.
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