Variational methods in nonlinear analysis



Publisher: Gordon and Breach Publishers in Australia, [Philadelphia, Pa.]

Written in English
Cover of: Variational methods in nonlinear analysis |
Published: Pages: 287 Downloads: 503
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Subjects:

  • Calculus of variations.,
  • Nonlinear functional analysis.

Edition Notes

Includes bibliographical references and index.

Statementedited by Antonio Ambrosetti and K.C. Chang.
ContributionsAmbrosetti, A., Chang, K. C., 1958-
Classifications
LC ClassificationsQA315 .V37 1995
The Physical Object
Paginationvii, 287 p. ;
Number of Pages287
ID Numbers
Open LibraryOL1433411M
ISBN 10288124937X
LC Control Number93045010

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. The first version of Numerical Methods for Nonlinear Variational Problems was, in fact, part of a set of monographs on numerical mat- matics published, in a short span of time, by the Tata Institute of Fun- mental Research in its well-known series Lectures on Mathematics and Physics; as might be expected, the first version systematically used. Calculus of variations is concerned with variations of functionals, which are small changes in the functional's value due to small changes in the function that is its argument. The first variation is defined as the linear part of the change in the functional, and the second variation is . This book has been cited by the following publications. Non-Linear Finite Element Analysis of Solids and Structures, John Wiley & Sons, Volume 1, and Pister, K. S., Variational and projection methods for the volume constraint in finite deformation elasto-plasticity, Comput. Meths. Appl. .

Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings. Sample Chapter(s). Variational methods with their numerous applications in differential and difference equations are among the central topics in nonlinear analysis. Growing out of the Dirichlet principle, variational methods have followed many paths leading to solutions to nonlinear equations and their multiplicity. Summary The objective of this book is to present advances in different areas of variational analysis and set optimization, especially uncertain optimization, optimal control and bilevel optimization. Uncertain optimization problems will be approached from both a stochastic as well as a robust point of view. Journal of Nonlinear and Variational Analysis' journal/conference profile on Publons, with several reviews by several reviewers - working with reviewers, publishers, institutions, and funding agencies to turn peer review into a measurable research output.

Nonlinear Programming book. Read reviews from world’s largest community for readers. Comprehensive and complete, this overview provides a single-volume t /5(5). Among the several practically available methods for solving nonlinear systems of equation, the Newton-Raphson method is the fastest and easy to implement in finite element analysis (Kim, The e-book is provided free, and the author welcomes suggestions and corrections. If you don't want to program the methods yourself, the author has written a book published by John Wiley, 2nd ed. in Introduction to Chemical Engineering Computing. Close Drawer Menu Open Drawer Menu Menu. Home; Journals. AIAA Journal; Journal of Aerospace Information Systems; Journal of Air Transportation; Journal of Aircraft; Journal of .

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"Nonlinear Analysis and Variational Problems" is organized into two parts. Part I, Nonlinear Analysis, centers on stability issues for functional equations, fixed point theorems, critical point theorems, W*-algebras, the Brezis–Browder principle, and related topics.

Part II, Variational Problems, addresses several important aspects of optimization and variational methods. This includes equilibrium problems, projected dynamical system, set-valued and set-semidefinite.

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In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the subject.

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