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• W2049518190 abstract "We construct solutions of the semilinear elliptic problem$Delta u+|u|^{p-1}u+$ε1/2 f = 0 in Ω u=ε1/2 g on $partial$Ωin a bounded smoothdomain $Omega subset R^N$ $(Ngeq 3)$, when the exponent $p$ is supercritical andclose enough to $frac{N+2}{N-2}$. As $prightarrow frac{N+2}{N-2}$, the solutionshave multiple blow up at finitely many points which are thecritical points of a function whose definition involves Green'sfunction. As applications, we will give some existence results, in particular,when $O$ are symmetric domains perforated with the small hole and when $f=0$ and $g=0$." @default.
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• W2049518190 date "2007-01-01" @default.
• W2049518190 modified "2023-09-26" @default.
• W2049518190 title "Bubble tower solutions of slightly supercritical elliptic equations and application in symmetric domains" @default.
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• W2049518190 doi "https://doi.org/10.3934/dcds.2007.17.751" @default.
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