The Existence of Arbitrary Multiple Nodal Solutions for a Class of Quasilinear Schrödinger Equations

• Kun Wang ^[1] ; Chen Huang ^[1] ; Gao Jia ^[1]
  1. [1] University of Shanghai for Science and Technology

     University of Shanghai for Science and Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 4, 2024
• Idioma: inglés
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• Resumen

  • This paper is concerned to studying the quasilinear Schrödinger equation:

    −u + V(x)u − γ 2 (u2)u = |u| p−2u, x ∈ RN , where V(x)is a given potential, γ > 0 and either p ∈ (2, 2∗), 2∗ = 2N N−2 for N 4 or p ∈ (2, 4) for N = 3. We establish the existence of arbitrary multiple nodal solutions for the above equations