Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem

The following singular elliptic boundary value problem is studied: where Ω RN (N 3) is a bounded domain with smooth boundary ∂Ω, , 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.