Nonlinear Analysis And Variational Problems

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Nonlinear Analysis And Variational Problems

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Author : Panos M. Pardalos
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-20

Nonlinear Analysis And Variational Problems written by Panos M. Pardalos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-20 with Business & Economics categories.

The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization.

Nonlinear Analysis And Variational Problems

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Author : Panos M. Pardalos
language : en
Publisher:
Release Date : 2010

Nonlinear Analysis And Variational Problems written by Panos M. Pardalos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematical analysis categories.

The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization. ""Nonlinear Analysis and Variational Problems"" is organized into two parts. Part I, Nonlinear Analysis, centers on stability issues for functional equations, fixed point theorems.

Variational And Non Variational Methods In Nonlinear Analysis And Boundary Value Problems

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Author : Dumitru Motreanu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Variational And Non Variational Methods In Nonlinear Analysis And Boundary Value Problems written by Dumitru Motreanu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

This book reflects a significant part of authors' research activity dur ing the last ten years. The present monograph is constructed on the results obtained by the authors through their direct cooperation or due to the authors separately or in cooperation with other mathematicians. All these results fit in a unitary scheme giving the structure of this work. The book is mainly addressed to researchers and scholars in Pure and Applied Mathematics, Mechanics, Physics and Engineering. We are greatly indebted to Viorica Venera Motreanu for the careful reading of the manuscript and helpful comments on important issues. We are also grateful to our Editors of Kluwer Academic Publishers for their professional assistance. Our deepest thanks go to our numerous scientific collaborators and friends, whose work was so important for us. D. Motreanu and V. Radulescu IX Introduction The present monograph is based on original results obtained by the authors in the last decade. This book provides a comprehensive expo sition of some modern topics in nonlinear analysis with applications to the study of several classes of boundary value problems. Our framework includes multivalued elliptic problems with discontinuities, variational inequalities, hemivariational inequalities and evolution problems. The treatment relies on variational methods, monotonicity principles, topo logical arguments and optimization techniques. Excepting Sections 1 and 3 in Chapter 1 and Sections 1 and 3 in Chapter 2, the material is new in comparison with any other book, representing research topics where the authors contributed. The outline of our work is the following.

Variational Methods In Nonlinear Analysis

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Author : Dimitrios C. Kravvaritis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-04-06

Variational Methods In Nonlinear Analysis written by Dimitrios C. Kravvaritis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-06 with Mathematics categories.

This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.

Topological And Variational Methods With Applications To Nonlinear Boundary Value Problems

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Author : Dumitru Motreanu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-19

Topological And Variational Methods With Applications To Nonlinear Boundary Value Problems written by Dumitru Motreanu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-19 with Mathematics categories.

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.

Nonsmooth Variational Problems And Their Inequalities

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Author : Siegfried Carl
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-07

Nonsmooth Variational Problems And Their Inequalities written by Siegfried Carl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-07 with Mathematics categories.

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.

Set Valued Mappings With Applications In Nonlinear Analysis

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Author : Donal O'Regan
language : en
Publisher: CRC Press
Release Date : 2002-09-26

Set Valued Mappings With Applications In Nonlinear Analysis written by Donal O'Regan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-26 with Mathematics categories.

Interest in the mathematical analysis of multi-functions has increased rapidly over the past thirty years, partly because of its applications in fields such as biology, control theory and optimization, economics, game theory, and physics. Set Valued Mappings with Applications to Nonlinear Analysis contains 29 research articles from leading mathematicians in this area. The contributors were invited to submit papers on topics such as integral inclusion, ordinary and partial differential inclusions, fixed point theorems, boundary value problems, and optimal control. This collection will be of interest to researchers in analysis and will pave the way for the creation of new mathematics in the future.

Control Of Nonlinear Distributed Parameter Systems

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Author : Goong Chen
language : en
Publisher: CRC Press
Release Date : 2001-03-14

Control Of Nonlinear Distributed Parameter Systems written by Goong Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-14 with Mathematics categories.

An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics and its Applications, the University of Minnesota, and Texas A&M University.

Variational Methods

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Author : BERESTYCKI
language : en
Publisher: Birkhäuser
Release Date : 2012-08-18

Variational Methods written by BERESTYCKI and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-18 with Mathematics categories.

In the framework of the "Annee non lineaire" (the special nonlinear year) sponsored by the C.N.R.S. (the French National Center for Scien tific Research), a meeting was held in Paris in June 1988. It took place in the Conference Hall of the Ministere de la Recherche and had as an organizing theme the topic of "Variational Problems." Nonlinear analysis has been one of the leading themes in mathemat ical research for the past decade. The use of direct variational methods has been particularly successful in understanding problems arising from physics and geometry. The growth of nonlinear analysis is largely due to the wealth of ap plications from various domains of sciences and industrial applica tions. Most of the papers gathered in this volume have their origin in applications: from mechanics, the study of Hamiltonian systems, from physics, from the recent mathematical theory of liquid crystals, from geometry, relativity, etc. Clearly, no single volume could pretend to cover the whole scope of nonlinear variational problems. We have chosen to concentrate on three main aspects of these problems, organizing them roughly around the following topics: 1. Variational methods in partial differential equations in mathemat ical physics 2. Variational problems in geometry 3. Hamiltonian systems and related topics.

Variational Methods

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Author : Henri Berestycki
language : en
Publisher: Birkhauser
Release Date : 1990-01-01

Variational Methods written by Henri Berestycki and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Calculus of variations categories.