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Existence of solutions for a class of weakly coupled semilinear elliptic systems

โœ Scribed by W.E. Fitzgibbon; J. Morgan

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
847 KB
Volume
77
Category
Article
ISSN
0022-0396

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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