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.
@article{arxiv.2502.07311,
title = {Differential inclusion systems with double phase competing operators, convection, and mixed boundary conditions},
author = {Jinxia Cen and Salvatore A. Marano and Shengda Zeng},
journal= {arXiv preprint arXiv:2502.07311},
year = {2025}
}