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• W2008596231 abstract "We consider the supercritical problem−Δu=|u|p−2uin Ω,u=0on ∂Ω, where Ω is a bounded smooth domain in RN and p smaller than the critical exponent 2N,k⁎:=2(N−k)N−k−2 for the Sobolev embedding of H1(RN−k) in Lq(RN−k), 1⩽k⩽N−3. We show that in some suitable domains Ω there are positive and sign changing solutions with positive and negative layers which concentrate along one or several k-dimensional submanifolds of ∂Ω as p approaches 2N,k⁎ from below." @default.
• W2008596231 created "2016-06-24" @default.
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• W2008596231 date "2013-05-01" @default.
• W2008596231 modified "2023-10-03" @default.
• W2008596231 title "Boundary clustered layers near the higher critical exponents" @default.
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• W2008596231 doi "https://doi.org/10.1016/j.jde.2013.02.015" @default.
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