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A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential

✍ Scribed by Peral, Ireneo; Orsina, Luigi; Boccardo, Lucio

Book ID
125888540
Publisher
American Institute of Mathematical Sciences
Year
2006
Tongue
English
Weight
223 KB
Volume
16
Category
Article
ISSN
1078-0947

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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, w