Bifurcation results for nonlinear eigenvalue problems involving the $(p,q)$-Laplace operator

In this paper, we analyze an eigenvalue problem for nonlinear elliptic operators involving homogeneous Dirichlet boundary conditions in an open smooth bounded domain. We prove bifurcation results from trivial solutions and from infinity for considered nonlinear eigenvalue problem. We also show the existence of multiple solutions of the nonlinear problem using variational methods.