Degenerated (p, q)-Laplacian With Weights and Related Equations With Convection
Dumitru Motreanu, M. Zuhair Nashed · Numerical Functional Analysis and Optimization · 2021
We consider Dirichlet boundary value problem where the elliptic equation is driven by a (p, q)-Laplacian with weights and that contains a convection term (i.e., it depends on the solution and its gradient). The notion of (p, q)-Laplacian with weights is considered for the first time. We present an existence result whose proof is based on the theory of pseudomonotone operators. An example illustrates its applicability.