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Differential inclusion systems with double phase competing operators, convection, and mixed boundary conditions (2502.07311v1)
Published 11 Feb 2025 in math.AP
Abstract: 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.
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