Sign-changing Solutions for a Class of Schrödinger-Bopp-Podolsky System with Concave-Convex Nonlinearities

In this article we are devoted to deal with the following Schrodinger-Bopp-Podolsky system f-Delta u + V (x)u + phi u = f(x)|u|q-2u +|u|p-2u, x is an element of R3, -Delta phi + a2 Delta 2u = 4 pi u2, x is an element of R3, where 1 < q < 2, 4 < p < 6 and a >= 0. Assuming that V (x) satisfies the typically coercive condition and the nonnegative potential f (x) belongs to L an appropriate upper bound, we show the existence of sign-changing solutions with positive energy, by means of constraint variational method and quantitative deformation lemma. 6 6-q (R3) with (c) 2023 Elsevier Inc. All rights reserved.