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Existence of Positive Solutions to Semilinear Elliptic Systems in with Zero Mass

โœ Scribed by LI, Gongbao; YE, Hongyu


Book ID
121357364
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
345 KB
Volume
33
Category
Article
ISSN
0252-9602

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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