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The book delves into multi-valued variational differential inequalities and inclusions, both stationary and evolutionary, emphasizing constraints represented by subdifferentials of convex functionals. It aims to offer a comprehensive and cohesive exploration of existence, comparison, and enclosure principles, along with qualitative properties of these inequalities and inclusions. Various function spaces are utilized in the analysis, including Sobolev spaces, Orlicz-Sobolev spaces, and those with variable exponents, providing a thorough mathematical framework for the discussed topics.
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Multi-Valued Variational Inequalities and Inclusions, Carl Siegfried, Vy Khoi Le
- Language
- Released
- 2021
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- Title
- Multi-Valued Variational Inequalities and Inclusions
- Language
- English
- Authors
- Carl Siegfried, Vy Khoi Le
- Publisher
- Springer International Publishing
- Publisher
- 2021
- Format
- Hardcover
- Pages
- 604
- ISBN13
- 9783030651640
- Category
- Mathematics
- Description
- The book delves into multi-valued variational differential inequalities and inclusions, both stationary and evolutionary, emphasizing constraints represented by subdifferentials of convex functionals. It aims to offer a comprehensive and cohesive exploration of existence, comparison, and enclosure principles, along with qualitative properties of these inequalities and inclusions. Various function spaces are utilized in the analysis, including Sobolev spaces, Orlicz-Sobolev spaces, and those with variable exponents, providing a thorough mathematical framework for the discussed topics.