LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515
Title	Multi-Valued Variational Inequalities and Inclusions ([EBook] /) / by Siegfried Carl, Vy Khoi Le.
Author	Carl, Siegfried
Added Personal Name	Le, Vy Khoi
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2021.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details	XVII, 584 p. 5 illus. : online resource.
Series	Springer monographs in mathematics 2196-9922
ISBN	9783030651657
Summary Note	This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces. 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 for studying 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.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-65165-7
Links to Related Works	Subject References: Analysis . Applications of Mathematics . Calculus of variations . Calculus of Variations and Optimization . Differential Equations . Mathematical analysis . Mathematical optimization . Mathematics . Operator Theory . Authors: author . Carl, Siegfried . Le, Vy Khoi . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 515 .

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Multi-Valued Variational Inequalities and Inclusions

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