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Guo, Y.X. and Liu, J.Q. (2009) Bifurcation for Strongly Indefinite Functional and Applications to Hamiltonian System and Noncooperative Elliptic System. Journal of Mathematical Analysis and Applications, 359, 28-38.
https://doi.org/10.1016/j.jmaa.2009.05.003

has been cited by the following article:

• TITLE: Multiplicity of Solutions for a Class of Noncooperative Elliptic Systems

  AUTHORS: Xinxue Zhang, Guanggang Liu

  KEYWORDS: Noncooperative Elliptic Systems, (PS)* Condition, Clark’s Theorem

  JOURNAL NAME: Advances in Pure Mathematics, Vol.13 No.9, September 22, 2023

  ABSTRACT: In this paper, we consider the following noncooperative elliptic systems where Ω is a bounded domain in RN 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 (uk,vk) with as k → ∞. Compared with the existing literature, we do not need to assume the behavior of the nonlinearity∇F at infinity.