EXISTENCE RESULTS FOR A NONLINEAR ELLIPTIC PROBLEM DRIVEN BY A NON-HOMOGENEOUS OPERATOR

In this paper, the authors discuss the existence of at least one weak solution and infinitely many weak solutions to a parametric nonlinear Dirichlet problem involving a nonhomogeneous differential operator of $ p $-Laplacian type. Their approach is based on variational methods. Some recent results are extended and improved, and an example is presented to demonstrate the application of the main results.