Abstract
In this article we study the resonance problems for Hardy-Sobolev operator $ L_{\\mu }:= -\\Delta _{p}-\\fraca {(\\mu }{|x|^{p})}, 0\\le \\mu \\lt {\\fraca {(N-p}{p} )}\\,^{p} $ with unbounded nonlinearity. Existence of weak solutions is established using the minimax theorems in critical point theory.
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