Ground State Sign-Changing Solution for Schrödinger-Poisson System with Critical Growth

• Zhang, Ziheng ^[2] ; Wang, Ying ^[1] ; Yuan, Rong ^[1]
  1. [1] Beijing Normal University

     Beijing Normal University

     China

     
  2. [2] Tiangong University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 2, 2021
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • This article is devoted to study the nonlinear Schrödinger-Poisson system with pure power nonlinearities −u + u + φu = |u|p−1u + |u| 4u, x ∈ R3, −φ = u2, x ∈ R3, where 4 < p < 5. By employing constraint variational method and a variant of the classical deformation lemma, we show the existence of one ground state signchanging solution with precisely two nodal domains, which improves and generalizes the existing results by Wang, Zhang and Guan (J. Math. Anal. Appl. 479 (2019), 2284–2301).