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Bartsch, T. and De Figueiredo, D.G. (1999) Infinitely Many Solutions of Nonlinear Elliptic Systems. In: Escher, J. and Simonett, G., Eds., Topics in Nonlinear Analysis. Progress in Nonlinear Differential Equations and Their Applications, Vol. 35, Birkhäuser, Basel, 51-67.
https://doi.org/10.1007/978-3-0348-8765-6_4

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.