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010   $a3-030-65165-7
024 7 $a10.1007/978-3-030-65165-7
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035   $a(DE-He213)978-3-030-65165-7
035   $a(MiAaPQ)EBC6511472
035   $a(Au-PeEL)EBL6511472
035   $a(OCoLC)1241451555
035   $a(PPN)254719554
035   $a(EXLCZ)994100000011786638
100   $a20210302d2021      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMulti-Valued Variational Inequalities and Inclusions /$fby Siegfried Carl, Vy Khoi Le
205   $a1st ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021.
215   $a1 online resource (XVII, 584 p. 5 illus.)
225 1 $aSpringer Monographs in Mathematics,$x2196-9922
311 1 $a3-030-65164-9 
330   $aThis book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces. A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool for studying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions. This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.
410  0$aSpringer Monographs in Mathematics,$x2196-9922
606   $aMathematical analysis
606   $aDifferential equations
606   $aOperator theory
606   $aMathematical optimization
606   $aCalculus of variations
606   $aMathematics
606   $aAnalysis
606   $aDifferential Equations
606   $aOperator Theory
606   $aCalculus of Variations and Optimization
606   $aApplications of Mathematics
615  0$aMathematical analysis.
615  0$aDifferential equations.
615  0$aOperator theory.
615  0$aMathematical optimization.
615  0$aCalculus of variations.
615  0$aMathematics.
615 14$aAnalysis.
615 24$aDifferential Equations.
615 24$aOperator Theory.
615 24$aCalculus of Variations and Optimization.
615 24$aApplications of Mathematics.
676   $a515.64
676   $a515.64
700   $aCarl$b S$g(Siegfried),$0351330
702   $aLe$b Vy Khoi
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484979103321
996   $aMulti-valued variational inequalities and inclusions$91906154
997   $aUNINA