Kirchhoff–Schrödinger-type problems involving double phase operator in Musielak–Orlicz–Sobolev spaces

Abstract This work deals with a class of double phase problems with variable exponents of Kirchhoff–Schrödinger type within the framework of Musielak–Orlicz–Sobolev spaces. By imposing certain assumptions and using the topological degree for a class of (S +) (S+) -demicontinuous operators, we derive the existence of at least one solution for the above problems. Our results are also applicable to problems with no-flux boundary conditions, and extend and generalize many previously published results.