Differential inclusion systems with double phase competing operators, convection, and mixed boundary conditions

Jinxia Cen; Salvatore A. Marano; Shengda Zeng

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arXiv · 2502.07311

Differential inclusion systems with double phase competing operators, convection, and mixed boundary conditions

Jinxia Cen·Salvatore A. Marano·Shengda Zeng

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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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Jinxia Cen, Salvatore A. Marano, Shengda Zeng. 2025-02-11. Differential inclusion systems with double phase competing operators, convection, and mixed boundary conditions. https://arxiv.org/abs/2502.07311

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