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

Infinitely Many Sign-Changing Solutions for the Nonlinear Schrödinger-Poisson System with Super 2-linear Growth at Infinity

“…Very recently, by using the method of invariant sets of descending flow, Gu, Jin and Zhang [16] obtained that system (1.4) has at least a sign-changing solution with λ > 0 small when f is quadratic at infinity. In the aspect of sign-changing solutions to system (1.4), we also would like to cite [36,41,49] for the critical case, [16] for the quadratic and subquadratic cases, [48] for the 3-linear case, [22,48] for the 3-superlinear case, [14,27] for the vanishing potential case, [18] for non-existence results and [17] for the fractional problems.…”

Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system with super 2-linear growth at infinity

“…Very recently, by using the method of invariant sets of descending flow, Gu, Jin and Zhang [16] obtained that system (1.4) has at least a sign-changing solution with λ > 0 small when f is quadratic at infinity. In the aspect of sign-changing solutions to system (1.4), we also would like to cite [36,41,49] for the critical case, [16] for the quadratic and subquadratic cases, [48] for the 3-linear case, [22,48] for the 3-superlinear case, [14,27] for the vanishing potential case, [18] for non-existence results and [17] for the fractional problems.…”

Least energy sign-changing solutions for the fractional Schrödinger–Poisson systems in R 3 $\mathbb{R}^{3}$

“…However, to the best of our knowledge, few papers considered sign-changing solutions to fractional Schrödinger-Poisson system (1.1) or similar problems. Via the quantitative deformation lemma and degree theory, Guo [20] studied the existence and asymptotic behavior of signchanging solutions for system (1.1).…”