Least energy sign-changing solutions of fractional Kirchhoff–Schrödinger–Poisson system with critical and logarithmic nonlinearity

Abstract

In the present paper, we deal with the following fractional Kirchhoff–Schrödinger–Poisson system with logarithmic and critical nonlinearity: where and Ω is a bounded domain in with Lipschitz boundary. Combining constraint variational methods, topological degree theory and quantitative deformation arguments, we prove that the above problem has a least energy sign-changing solution . Moreover, we show that the energy of is strictly larger than two times the ground state energy. Finally, we regard b as a parameter and show the convergence property of as .