Existence of ground state sign-changing solutions for a class of generalized quasilinear Schrodinger-Maxwell system in R3

In this paper, we study the existence of ground state sign-changing solutions for the following generalized quasilinear Schrodinger-Maxwell system {-div(g(2)(u)del u) + g(u)g'(u)vertical bar del u(2)vertical bar + V(x)u + mu phi G(u)g(u)=K(x)f(u), x is an element of R-3, -Delta phi= G(2)(u), x is an element of R-3, where g is an element of C-1 (R, R+), V(x) and K(x) are positive continuous functions and mu is a positive parameter. By making a change of variable as u = G(-1)(v) and G(u) = integral(u)(0) g(t)dt, we obtain one ground state sign-changing solution v mu = G(-1)(u(mu)) by using some new analytical skills and non-Nehari manifold method. Furthermore, the energy of v(mu) = G(-1)(u(mu)) is strictly larger than twice that of the ground state solutions of Nehari-type. We also establish the convergence property of v(mu) = G(-1)(u(mu)) as the parameter mu SE arrow 0. Our results improve and generalize some results obtained by Chen and Tang (2016), Zhu et al. (2016). (C) 2017 Elsevier Ltd. All rights reserved.