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Semilinear problems on the half space with a hole

Published online by Cambridge University Press:  17 April 2009

Hwai-Chiuan Wang
Hwai-Chiuan Wang
Affiliation:
Department of MathematicsNational Tsing Hua UniversityHsinchuTaiwan e-mail: hwang@math.nthu.edu.tw
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Abstract

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In this article we prove that there is a positive solution in of the equation −Δu + λu = |u|p−2u in Ω where Ω is the half space with a hole, λ > 0 and 2 < p < 2N/(N−2).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 2 , April 1996 , pp. 235 - 247
Copyright
Copyright © Australian Mathematical Society 1996

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