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Existence and stability of entire solutions to a semilinear fourth order elliptic problem

โœ Scribed by Elvise Berchio; Alberto Farina; Alberto Ferrero; Filippo Gazzola

Book ID
113699258
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
237 KB
Volume
252
Category
Article
ISSN
0022-0396

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๐Ÿ“œ SIMILAR VOLUMES

Entire Solution of a Singular Semilinear
Entire Solution of a Singular Semilinear Elliptic Problem
โœ Alan V. Lair; Aihua W. Shaker ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 129 KB

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

A Remark on the Existence of Entire Solu
A Remark on the Existence of Entire Solutions of a Singular Semilinear Elliptic Problem
โœ Zhijun Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 118 KB

It is proved that the singular semilinear elliptic equation yโŒฌu s p x g u , ลฝ . n ลฝ . 1 ลฝลฝ . ลฝ .. lim g s s qฯฑ, and g g C 0, ฯฑ , 0, ฯฑ which is s ยช 0 ลฝ . 2qโฃ ลฝ n . strictly decreasing in 0, ฯฑ , has a unique positive C R solution that decays to l o c ฯฑ ลฝ . ลฝ . ลฝ . zero near ฯฑ provided H t t dt -ฯฑ, w

Existence and Nonexistence of Entire Pos
Existence and Nonexistence of Entire Positive Solutions of Semilinear Elliptic Systems
โœ Xuefeng Wang; Aihua W. Wood ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 80 KB

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