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Existence of positive entire solutions of a semilinear elliptic problem with a gradient term

✍ Scribed by Hongtao Xue; Xigao Shao


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
426 KB
Volume
71
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Existence and Nonexistence of Entire Pos
✍ Xuefeng Wang; Aihua W. Wood πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 80 KB

We show that entire positive solutions exist for the semilinear elliptic system u = p x v Ξ± , v = q x u Ξ² on R N , N β‰₯ 3, for positive Ξ± and Ξ², provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail

A Remark on the Existence of Entire Solu
✍ Zhijun Zhang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 118 KB

It is proved that the singular semilinear elliptic equation y⌬u s p x g u , Ε½ . n Ε½ . 1 Ε½Ε½ . Ε½ .. lim g s s qΟ±, and g g C 0, Ο± , 0, Ο± which is s Βͺ 0 Ε½ . 2q␣ Ε½ n . strictly decreasing in 0, Ο± , has a unique positive C R solution that decays to l o c Ο± Ε½ . Ε½ . Ε½ . zero near Ο± provided H t t dt -Ο±, w

Entire Solution of a Singular Semilinear
✍ Alan V. Lair; Aihua W. Shaker πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 129 KB

Ε½ . Ε½ . decays to zero near Ο± provided H t t dt -Ο±, where t s max p x . Fur-0 < x <st thermore, they show that this condition on p is nearly optimal.