<p>This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. It provides a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method.</p>

Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications (Springer Monographs in Mathematics)

Science & Math

Motreanu, Dumitru

Carl, Siegfried

Le, Vy Khoi

Mathematics

Springer

This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. It provides a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method.

Multi-Valued Variational Inequalities and Inclusions (Springer Monographs in Mathematics)

<p><p>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.</p> 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. <p>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.</p> <div><br /></div></p>

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Books by Le, Vy Khoi

See the best price to sell, buy, or rent books by Le, Vy Khoi. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications (Springer Monographs in Mathematics)

Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications (Springer Monographs in Mathematics)

Multi-Valued Variational Inequalities and Inclusions (Springer Monographs in Mathematics)

Multi-Valued Variational Inequalities and Inclusions (Springer Monographs in Mathematics)