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A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool forstudying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions.
This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.
A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool forstudying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions.
This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.
Siegfried Carl received his PhD in Mathematics from the University of Halle, where he has been a Professor of Mathematics at the Institute of Mathematics since 1995. He has published more than 150 research articles and three research monographs. He has served as an Associate Editor of various mathematical journals and acted as an Editor-in-Chief of the journal Nonlinear Analysis.
Vy Khoi Le received his PhD in Mathematics from the University of Utah, and has been a Professor of Mathematics at the Department of Mathematics and Statistics, Missouri University of Science and Technology since 2006. He is the author or co-author of more than 100 research articles and three research monographs. He has served as an Associate Editor of various international journals of mathematics.Develops a general sub-supersolution method for stationary and evolutionary multi-valued variational inequalities
Provides a self-contained exposition of existence, comparison and enclosure principles
Accessible to a wide audience of graduate students and researchers
| Erscheinungsjahr: | 2022 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xvii
584 S. 5 s/w Illustr. 584 p. 5 illus. |
| ISBN-13: | 9783030651671 |
| ISBN-10: | 3030651673 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Le, Vy Khoi
Carl, Siegfried |
| Auflage: | 1st edition 2021 |
| Hersteller: | Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 33 mm |
| Von/Mit: | Vy Khoi Le (u. a.) |
| Erscheinungsdatum: | 04.03.2022 |
| Gewicht: | 0,902 kg |
Siegfried Carl received his PhD in Mathematics from the University of Halle, where he has been a Professor of Mathematics at the Institute of Mathematics since 1995. He has published more than 150 research articles and three research monographs. He has served as an Associate Editor of various mathematical journals and acted as an Editor-in-Chief of the journal Nonlinear Analysis.
Vy Khoi Le received his PhD in Mathematics from the University of Utah, and has been a Professor of Mathematics at the Department of Mathematics and Statistics, Missouri University of Science and Technology since 2006. He is the author or co-author of more than 100 research articles and three research monographs. He has served as an Associate Editor of various international journals of mathematics.Develops a general sub-supersolution method for stationary and evolutionary multi-valued variational inequalities
Provides a self-contained exposition of existence, comparison and enclosure principles
Accessible to a wide audience of graduate students and researchers
| Erscheinungsjahr: | 2022 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xvii
584 S. 5 s/w Illustr. 584 p. 5 illus. |
| ISBN-13: | 9783030651671 |
| ISBN-10: | 3030651673 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Le, Vy Khoi
Carl, Siegfried |
| Auflage: | 1st edition 2021 |
| Hersteller: | Springer International Publishing |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 33 mm |
| Von/Mit: | Vy Khoi Le (u. a.) |
| Erscheinungsdatum: | 04.03.2022 |
| Gewicht: | 0,902 kg |
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