An anisotropic Dirichlet system including unbounded coefficients
Dumitru Motreanu, Abdolrahman Razani, Elisabetta Tornatore · Discrete and Continuous Dynamical Systems - S · 2025
This paper focuses on an anisotropic system driven by $ (p,q) $-Laplacian operators with unbounded coefficients depending on the solution, and whose lower order-terms exhibit full dependence on the solution and its gradient. The main results establish the existence of solutions and the uniform boundedness of the solution set. The approach is based on a suitable truncation to drop the unboundedness of the coefficients and on the solvability of the truncated system within the theory of pseudomonotone operators.