A new kind of double phase differential inclusion problem with non-monotone operator and mixed boundary conditions

Discrete and Continuous Dynamical Systems - S 2026 Open access

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Authors: Zhen Zhong, Chunyu Li, Francesca Vetro, Van Thien Nguyen
DOI: 10.3934/dcdss.2026127
Cited by: 1
References: 18

Abstract

In this paper, we focus on a class of differential inclusions driven by competing double phase operators, involving logarithmic perturbations, unbounded coefficients, and mixed boundary conditions. We establish the existence of both generalized and strong generalized solutions to our problem, by employing a Galerkin type approximation scheme combined with variational arguments.

Fields of Study & Subjects

Contact Mechanics and Variational Inequalities Advanced Numerical Methods in Computational Mathematics Advanced Mathematical Modeling in Engineering

Publication details

Journal / source
Discrete and Continuous Dynamical Systems - S
Publisher
American Institute of Mathematical Sciences (AIMS)
Volume
28
Issue
0
Pages
243–257
Publication date
1 January 2026