Nonnegative solution for quasilinear Schrödinger equations that include supercritical exponents with nonlinearities that are indefinite in sign

In this study, we establish the existence of solutions for quasilinear Schrödinger equations involving supercritical growth with nonlinearities that are indefinite in sign. By changing the variables, the quasilinear equations are reduced to semilinear and variational methods, which are then used to obtain existence results.