The Concentration of Multiplicity Solutions for a Class Hamiltonian Elliptic Systems

• Yuanyang Yu ^[1]
  1. [1] Yunnan University

     Yunnan University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 1, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we are concerned with the concentration of multiplicity solutions for the following Hamiltonian elliptic systems −ε2u + u = K(x) f (v), x ∈ RN , −ε2v + v = K(x)g(u), x ∈ RN , where N ≥ 3, ε > 0 is a small parameter, K : RN → R is bounded positive continuous function, f and g are continuous but are not necessarily of class C1. By establishing a strongly indefinite variational setting, we prove the number of solutions is at least the number of global maximum points of K, and the maximum points of K is the concentration position of these solutions as ε → 0.

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