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Existence and nonexistence of entire positive solutions for-Laplacian elliptic system with a gradient term

โœ Scribed by Zhong Bo Fang, Su-Cheol Yi

Book ID
120736047
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
165 KB
Volume
2013
Category
Article
ISSN
1687-2762

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๐Ÿ“œ SIMILAR VOLUMES

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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 ฮฑ > q -1, ฮฒ > 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

Existence and Nonexistence of Entire Pos
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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