Double phase obstacle problems with multivalued convection and mixed boundary value conditions

@article{Zeng2022DoublePO,
title={Double phase obstacle problems with multivalued convection and mixed boundary value conditions},
author={Shengda Zeng and Vicenctiu D. Ruadulescu and Patrick Winkert},
journal={Discrete and Continuous Dynamical Systems - B},
year={2022}
}
• Published 29 June 2021
• Computer Science
• Discrete and Continuous Dynamical Systems - B
<p style='text-indent:20px;'>In this paper, we consider a mixed boundary value problem with a double phase partial differential operator, an obstacle effect and a multivalued reaction convection term. Under very general assumptions, an existence theorem for the mixed boundary value problem under consideration is proved by using a surjectivity theorem for multivalued pseudomonotone operators together with the approximation method of Moreau-Yosida. Then, we introduce a family of the approximating…

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