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Existence of Entire Large Positive Solutions of Semilinear Elliptic Systems

โœ Scribed by Alan V. Lair; Aihua W. Wood


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
171 KB
Volume
164
Category
Article
ISSN
0022-0396

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๐Ÿ“œ SIMILAR VOLUMES


Existence and Nonexistence of Entire Pos
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

Entire Solution of a Singular Semilinear
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
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 Multiplicity of Solutions
โœ Chun-Lei Tang; Xing-Ping Wu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

The existence and multiplicity results of solutions are obtained by the reduction method and the minimax methods for nonautonomous semilinear elliptic Dirichlet boundary value problem. Some well-known results are generalized. แฎŠ 2001 Aca- demic Press