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Nonexistence results of entire solutions for superlinear elliptic inequalities

โœ Scribed by Hiroyuki Usami

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
868 KB
Volume
164
Category
Article
ISSN
0022-247X

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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

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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