Differential inclusion systems with double phase competing operators, convection, and mixed boundary conditions
Jinxia Cen, S. Marano, Shengda Zeng · Applied Mathematics Letters · 2025
In this paper, a new framework for studying the existence of generalized or strongly generalized solutions to a wide class of inclusion systems involving double-phase, possibly competing differential operators , convection, and mixed boundary conditions is introduced. The technical approach exploits Galerkin’s method and a surjective theorem for multifunctions in finite dimensional spaces.