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Article type: Research Article
Authors: Takahashi, Futoshi
Affiliations: Department of Mathematics, Graduate School of Science, Osaka City University, Sugimoto 3-3-138, Sumiyoshi-ku, Osaka, 558-8585, Japan. Tel.: +81 0 6-6605-2508, E-mail: futoshi@sci.osaka-cu.ac.jp
Abstract: We study the asymptotic behavior of least energy solutions to the equation Δ2u=c0K(x)upε with the Navier boundary condition as ε→+0, where Ω is a smooth bounded domain in RN (N≥5), c0=(N−4)(N−2)N(N+2) and pε=(N+4)/(N−4)−ε, ε>0. Under some assumptions on the coefficient function K, we obtain fairly precise asymptotics of the L∞-norm of least energy solutions.
Keywords: biharmonic equation, critical exponent
DOI: 10.3233/ASY-2008-0904
Journal: Asymptotic Analysis, vol. 60, no. 3-4, pp. 213-226, 2008
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