Abstract
We study the existence of multiple solutions for the following elliptic problem:-Δpu-μ|u|p-2u/|x|p=|u|p*(t)-2/|x|tu+λ|u|q-2/|x|su,u∈W01,p(Ω).We prove that if1≤q<p<N, then there is aμ0, such that for anyμ∈0,μ0, the above mentioned problem possesses infinitely many weak solutions. Our result generalizes a similar result (Azorero and Alonso, 1991).
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