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Existence of positive entire solutions of elliptic hamiltonian systems

โœ Scribed by James, Serrin; Henghui, Zou; Serrin, J.; Eou, H.


Book ID
111683646
Publisher
Taylor and Francis Group
Year
1998
Tongue
English
Weight
675 KB
Volume
23
Category
Article
ISSN
0360-5302

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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