Positive radial solutions of semilinear elliptic equations of order 2m in annular domains

Positive radial solutions of semilinear elliptic equations of order 2m in annular domains
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DOI:
10.14492/hokmj/1381412487
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发表时间:
1994-02
影响因子:
0.5
通讯作者:
R. Dalmasso
R. Dalmasso
中科院分区:
数学4区
文献类型:
--
作者:
R. Dalmasso

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研究了具有Dirichlet边界条件的环空中(-1)^{m}\Delta ^{mu}=g(|x|)f(u)的正径向解的存在性。特别地,得到了L^ {\infty}的先验界。
We study the existence of positive radial solutions of (-1)^{m} \Delta^{m}u=g(|x|)f(u) in an annulus with Dirichlet boundary conditions. In par- ticular L^{\infty} a priori bounds are obtained.