Abstract
The following singular elliptic boundary value problem is studied: Δu+λu −γ+u p=0 in Ω, u>0 in Ω, u=0 on ∂Ω, where Ω⊂R N (N⩾3) is a bounded domain with smooth boundary ∂Ω, 0<γ<1<p⩽ N+2 N−2 , and λ>0 is a real parameter. The existence, multiplicity and asymptotic behavior (as p→1) of solutions of this equation are discussed by combining variational and sub-supersolution methods.
Published Version
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