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On the nonexistence of positive solutions of polyharmonic systems in

✍ Scribed by Yajing Zhang


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
259 KB
Volume
68
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


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✍ Xuefeng Wang; Aihua W. Wood πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 80 KB

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

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This paper is concerned with the following system on time scale T: where 0, T ∈ T and T > 0. By using the theory of the fixed point index, we investigate the effect of Οƒ 2 (T ) on the existence and nonexistence of positive solution for the above system in sublinear cases. The results obtained are e

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✍ Donal O'Regan; Haiyan Wang πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 178 KB

## Abstract The paper deals with the existence, multiplicity and nonexistence of positive radial solutions for the elliptic system div(|βˆ‡|^__p__ –2^βˆ‡) + __Ξ»k~i~__ (|__x__ |) __f^i^__ (__u__~1~, …,__u~n~__) = 0, __p__ > 1, __R__~1~ < |__x__ | < __R__~2~, __u~i~__ (__x__) = 0, on |__x__ | = __R__~1~