Sign-changing solutions for fractional Schrödinger–Poisson system in ℝ3

Abstract

ABSTRACTWe consider the existence of sign-changing solutions for the following fractional Schrödinger–Poisson system where , is a positive parameter, is a continuous potential function. Since multiple nonlocal terms are involving in the system, some new techniques are applied to prove the existence of a least energy sign-changing solution . Moreover, we prove that the energy of any sign-changing solution to this system is strictly larger than twice of the ground state energy. Furthermore, the asymptotic behavior of as is also analyzed.