It takes the average reader 10 hours and 10 minutes to read Multi-Valued Variational Inequalities and Inclusions by Siegfried Carl
Assuming a reading speed of 250 words per minute. Learn more
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.
Multi-Valued Variational Inequalities and Inclusions by Siegfried Carl is 596 pages long, and a total of 152,576 words.
This makes it 201% the length of the average book. It also has 186% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 13 hours and 53 minutes to read Multi-Valued Variational Inequalities and Inclusions aloud.
Multi-Valued Variational Inequalities and Inclusions is suitable for students ages 12 and up.
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