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001434835 001__ 1434835
001434835 003__ OCoLC
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001434835 019__ $$a1241441685$$a1241666056$$a1287769278
001434835 020__ $$a9783030651657$$q(electronic bk.)
001434835 020__ $$a3030651657$$q(electronic bk.)
001434835 020__ $$z3030651649
001434835 020__ $$z9783030651640
001434835 0247_ $$a10.1007/978-3-030-65165-7$$2doi
001434835 035__ $$aSP(OCoLC)1241451555
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001434835 049__ $$aISEA
001434835 050_4 $$aQA316
001434835 08204 $$a515/.64$$223
001434835 1001_ $$aCarl, S.$$q(Siegfried)
001434835 24510 $$aMulti-valued variational inequalities and inclusions /$$cSiegfried Carl, Vy Khoi Le.
001434835 260__ $$aCham :$$bSpringer,$$c2021.
001434835 300__ $$a1 online resource (596 pages)
001434835 336__ $$atext$$btxt$$2rdacontent
001434835 337__ $$acomputer$$bc$$2rdamedia
001434835 338__ $$aonline resource$$bcr$$2rdacarrier
001434835 347__ $$atext file
001434835 347__ $$bPDF
001434835 4901_ $$aSpringer Monographs in Mathematics
001434835 504__ $$aIncludes bibliographical references and index.
001434835 506__ $$aAccess limited to authorized users.
001434835 520__ $$aThis book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces. A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool for studying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions. This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.
001434835 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 29, 2021).
001434835 650_0 $$aVariational inequalities (Mathematics)
001434835 650_6 $$aInégalités variationnelles.
001434835 655_0 $$aElectronic books.
001434835 7001_ $$aLe, Vy Khoi.
001434835 77608 $$iPrint version:$$aCarl, Siegfried.$$tMulti-Valued Variational Inequalities and Inclusions.$$dCham : Springer International Publishing AG, ©2021$$z9783030651640
001434835 830_0 $$aSpringer monographs in mathematics.
001434835 852__ $$bebk
001434835 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-65165-7$$zOnline Access$$91397441.1
001434835 909CO $$ooai:library.usi.edu:1434835$$pGLOBAL_SET
001434835 980__ $$aBIB
001434835 980__ $$aEBOOK
001434835 982__ $$aEbook
001434835 983__ $$aOnline
001434835 994__ $$a92$$bISE