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Infinite Multiplicity of Positive Entire Solutions for a Semilinear Elliptic Equation

โœ Scribed by Soohyun Bae; Tong Keun Chang; Dae Hyeon Pahk


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
205 KB
Volume
181
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
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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.