Abstract
This paper is concerned with the following biharmonic problem {Δ2u=|u|8N−4uin Ω∖B(ξ0,ε)―,u=Δu=0on ∂(Ω∖B(ξ0,ε)―), where Ω is an open bounded domain in RN , N⩾5 , and B(ξ0,ε) is a ball centered at ξ 0 with radius ɛ, ɛ is a small positive parameter. We obtain the existence of solutions for problem (0.1), which is an arbitrary large number of sign-changing solutions whose profile is a superposition of bubbles with alternate sign which concentrate at the centre of the hole.
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