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A Remark on the Existence of Entire Solutions of a Singular Semilinear Elliptic Problem

✍ Scribed by Zhijun Zhang

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
118 KB
Volume
215
Category
Article
ISSN
0022-247X

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✦ Synopsis

It is proved that the singular semilinear elliptic equation y⌬u s p x g u , Ž . n Ž .

1 ŽŽ . Ž ..

lim g s s qϱ, and g g C 0, ϱ , 0, ϱ which is s ª 0 Ž . 2q␣ Ž n . strictly decreasing in 0, ϱ , has a unique positive C R solution that decays to l o c ϱ Ž . Ž . Ž . zero near ϱ provided H t t dt -ϱ, where t s max g x . ᮊ 1997 Aca-0 < x <st demic Press

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