On Critical Exponents for a Semilinear P
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Marek Fila; Howard A. Levine
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Article
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1996
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Elsevier Science
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English
β 242 KB
In this paper, we consider the system q 1 1 0 0 and bounded. We prove that if pq F 1 every nonnegative solution is global. When Ε½ . Ε½ . Ε½ . Ε½ . pq ) 1 we let β£ s p q 2 r2 pq y 1 , β€ s 2 q q 1 r2 pq y 1 . We show that if Ε½ . Ε½ . max β£, β€ ) Nr2 or max β£, β€ s Nr2 and p, q G 1, then all nontrivial nonne