On the number of positive solutions of a nonlinear algebraic system
โ Scribed by Guang Zhang; Wenying Feng
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 232 KB
- Volume
- 422
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
In this paper we consider the following n-dimensional second-order nonlinear system on time scales f i (u)/ u . Define i 0 = number of zeros in the set {f 0 , f โ } and i โ = number of infinities in the set {f 0 , f โ }. By using fixed point index theory, we show that: (i) if i 0 = 1 or 2, then th
## Abstract The paper deals with the existence, multiplicity and nonexistence of positive radial solutions for the elliptic system div(|โ|^__p__ โ2^โ) + __ฮปk~i~__ (|__x__ |) __f^i^__ (__u__~1~, โฆ,__u~n~__) = 0, __p__ > 1, __R__~1~ < |__x__ | < __R__~2~, __u~i~__ (__x__) = 0, on |__x__ | = __R__~1~
Critical point theory in terms of the S 1 -invariant function and the S 1 -invariant linear subspaces (P.S.) \* c condition a b s t r a c t We give multiplicity result for the solutions of the nonlinear Hamiltonian system. We show the existence of at least m solutions for the nonlinear Hamiltonian