In this paper, we consider the following noncooperative elliptic systems where Ω is a bounded domain in R<sup>N</sup> with smooth boundary ∂Ω, λ,δ,γ are real parameters, and . We assume that F is subq...In this paper, we consider the following noncooperative elliptic systems where Ω is a bounded domain in R<sup>N</sup> with smooth boundary ∂Ω, λ,δ,γ are real parameters, and . We assume that F is subquadratic at zero with respect to the variables u,v. By using a variant Clark’s theorem, we obtain infinitely many nontrivial solutions (u<sub>k</sub><sub></sub>,v<sub>k</sub>) with as k → ∞. Compared with the existing literature, we do not need to assume the behavior of the nonlinearity ∇F at infinity.展开更多
文摘In this paper, we consider the following noncooperative elliptic systems where Ω is a bounded domain in R<sup>N</sup> with smooth boundary ∂Ω, λ,δ,γ are real parameters, and . We assume that F is subquadratic at zero with respect to the variables u,v. By using a variant Clark’s theorem, we obtain infinitely many nontrivial solutions (u<sub>k</sub><sub></sub>,v<sub>k</sub>) with as k → ∞. Compared with the existing literature, we do not need to assume the behavior of the nonlinearity ∇F at infinity.
