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Existence and nonexistence of positive solutions of semilinear elliptic equation with inhomogeneous strong Allee effect

โœ Scribed by Guan-qi Liu; Yu-wen Wang; Jun-ping Shi

Book ID
106346444
Publisher
Springer
Year
2009
Tongue
English
Weight
213 KB
Volume
30
Category
Article
ISSN
0253-4827

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๐Ÿ“œ SIMILAR VOLUMES

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