On the nonexistence of positive solutions of polyharmonic systems in
β 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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π SIMILAR VOLUMES
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
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
This paper is concerned with the following system on time scale T: where 0, T β T and T > 0. By using the theory of the fixed point index, we investigate the effect of Ο 2 (T ) on the existence and nonexistence of positive solution for the above system in sublinear cases. The results obtained are e
## Abstract The paper deals with the existence, multiplicity and nonexistence of positive radial solutions for the elliptic system div(|β|^__p__ β2^β) + __Ξ»k~i~__ (|__x__ |) __f^i^__ (__u__~1~, β¦,__u~n~__) = 0, __p__ > 1, __R__~1~ < |__x__ | < __R__~2~, __u~i~__ (__x__) = 0, on |__x__ | = __R__~1~