Elliptic Equations with Nearly Critical Growth

Elliptic Equations with Nearly Critical Growth
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DOI:
10.1016/0022-0396(87)90156-2
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发表时间:
1987-12
影响因子:
2.4
通讯作者:
F. Atkinson;L. Peletier
F. Atkinson;L. Peletier
中科院分区:
数学2区
文献类型:
--
作者:
F. Atkinson;L. Peletier

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然后已知解具有径向对称性[lo],并且我们可以使用ODE参数获得精确的渐近估计为E+ 0。对于每个e> 0和r> 0,问题1有一个解[14],通过一个简单的缩放论证,可以证明它是唯一的。我们通常用u (x, E)表示它。
Solutions are then known to possess radial symmetry [lo], and we can use ODE arguments to obtain precise asymptotic estimates as E+ 0. For each E> 0 and R> O, Problem I has a solution [14], which, by a simple scaling argument, can be shown to be unique. We shall often denote it by u (x, E).