On a positive solution for $(p,q)$-Laplace equation with Nonlinear

In the presentp aper, we study the existence and non-existence results of a positive solution for the Steklov eigenvalue problem driven by nonhomogeneous operator $(p,q)$-Laplacian with indefinite weights. We also prove that in the case where $\mu>0$ and with $10$ there exists an interval of principal eigenvalues for our Steklov eigenvalue problem.