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| 1 | Existence of Single-Peaked Solution of a Semilinear Elliptic Problem显示文摘We discussed the Dirichlet problem of semilinear elliptic equation (Pβ,ε): -β2△u=up+εe,u>0, in Ω ;u=0, on Ω, where ΩcR'(N≤4) is smooth and bounded domain, p= β,ε>0. We have proved that there exist positive ε0. and ε1, such that when 0≤ε≤ε0, β>ε1, (Pβ,ε) has a single-peaked solution uβ,ε; furthermore, | uβ,ε|2-0 in the sense of measure as ε-0 and β-0. | Zhong Xin-hua College of Mathematics and Computer Science,Wuhan University,Wuhan 430072,China | 2000 | Wuhan University Journal of Natural Sciences2000，5，4： | 1 |
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