Infinitely many solutions for a class of sublinear fractional Schrödinger-Poisson systems

  • Wen Guan
  • Lu-Ping Ma
  • Da-Bin Wang
  • Jin-Long Zhang
Keywords: Schro ̈dinger-Poisson systems, fractional, variational methods.

Abstract

In this paper, we consider the following nonlinear fractional Schrödinger-Poisson system {(−∆)su + V (x)u + K(x)φu = a(x)|u|q−1u, x ∈ R3, (−∆)tφ = K(x)u2, x ∈ R3} where s,t ∈ (0,1) and 4s + 2t ≥ 3,0 < q < 1, and a,K,V ∈ L∞(R3). When a, V both change sign in R3, by applying the symmetric mountain pass theorem, we prove that the problem has infinitely many solutions under appropriate assumptions on a, K, V.

Published
2021-11-08
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606