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

Abstract

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.

Keywords

• $(p
• q)$-Laplacian
• nonlinear boundary conditions
• indefinite weight
• mountain pass theorem
• global minimizer