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Nonexistence of Positive Solutions for a Class of Semilinear Elliptic Systems

✍ Scribed by Dang, H.; Oruganti, S.; Shivaji, R.

Book ID
121819264
Publisher
Rocky Mountain Mathematics Consortium
Year
2006
Tongue
English
Weight
123 KB
Volume
36
Category
Article
ISSN
0035-7596

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πŸ“œ SIMILAR VOLUMES

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We show that entire positive solutions exist for the semilinear elliptic system u = p x v Ξ± , v = q x u Ξ² on R N , N β‰₯ 3, for positive Ξ± and Ξ², provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail

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In this work we consider the nonexistence of a positive entire solution for the quasilinear elliptic system where p, q > 1 and Ξ± > q -1, Ξ² > p -1. We study the effect of the asymptotic behavior of f (x), g(x) and solutions at infinity on the nonexistence of a positive solution for Problem (0.1). So