3 edition of **Critical point theory and the minimax principle** found in the catalog.

Critical point theory and the minimax principle

Richard S. Palais

- 234 Want to read
- 0 Currently reading

Published
**1960** by s.n. in [S.l .

Written in English

**Edition Notes**

Statement | Richard S. Palais. |

ID Numbers | |
---|---|

Open Library | OL15045722M |

minimax[′minə‚maks] (mathematics) The minimum of a set of maxima. In the theory of games, the smallest of a set of maximum possible losses, each representing the most unfavorable outcome of a particular strategy. Minimax in mathematics, the value of the expression of a real function f(x,y) of two variables. The concept of maximin equal to maxy. In [Y. Li and J. Zhou, SIAM J. Sci. Comput.,, 23 (), pp. ], a new local minimax method that characterizes a saddle point as a solution to a local minimax problem was established. Based on the local characterization, a numerical minimax algorithm was designed for finding multiple saddle points. Numerical computations of many examples in semilinear elliptic PDE were successfully Cited by:

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PDF | On Jan 1,R.S. Palais and others published Critical Point Theory and the Minimax Principle | Find, read and cite all the research you need on ResearchGate.

The purpose of this paper is to survey developments in the field of critical point theory and its applications to differential equations that have occurred during the past 20–25 years. This is too broad a theme for a single survey and we will focus on three particular by: We point out that the minimax principle for relative homology classes is particularly suitable for Morse theory because certain critical groups for the critical points determined by this minimax principle can be proved being nontrivial; they then have contributions to Morse : Kung-ching Chang.

Minimax Systems and Critical Point Theory is accessible to graduate students with some background in functional analysis, and the new material makes this book a useful reference for researchers and mathematicians. Review of the author's previous Birkhäuser work, Linking Methods in Cited by: Critical point theory and the minimax principle book [] Rabinowitz, P.

Minimax Methods in Critical Point Theory with Applications to Differential Equations, volume 65 of CBMS Regional Conference Series in Mathematics.

Published for the Conference Board of the Mathematical Sciences, Washington, DC, Cited by: 6. This book introduces the reader to powerful methods of analysis that can solve many problems.

Written for graduate students and research scientists, it describes in detail, with examples, many of the topics that are useful in solving difficult problems, including Morse theory, critical groups and Cited by: 6. Indeed, in that case the solutions of () n are precisely the critical points of the functional j n (x) = F(x) – (g, x) defined on X n.

Thus the powerful methods of finite-dimensional critical point theory discussed briefly in Section become applicable in the study of the approximations () n. For historical reasons this approach. This book provides a systematic presentation of the most basic tools of critical point theory: minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik- Schirelmann theory for Z2 and S1 symmetries, Morse theory for possibly degenerate critical points and non Brand: Springer-Verlag New York.

On the proof of a minimax In Chapter 3 of th e book [8] a criti cal point theory has been Nonsmooth Critical Point Theory.

Minimax Methods for Variational-Hemivariational Author: Dumitru Motreanu. Topics in Critical Point Theory (Cambridge Tracts in Mathematics Book ) eBook: Perera, Kanishka, Schechter, Martin: : Kindle StoreAuthor: Critical point theory and the minimax principle book Perera, Martin Schechter.

Get this from a library. Topics in critical point theory. [Kanishka Perera; Martin Schechter] -- "This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older.

This book provides a systematic presentation of the most basic tools of critical point theory: minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik- Schirelmann theory for Z2 and S1 symmetries, Morse theory for possibly degenerate critical points and non.

This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods.

Topics covered include Morse theory, critical groups, the minimax principle, various Author: Kanishka Perera. (shelved 20 times as critical-theory) avg rating — 2, ratings — published Want to Read saving. Starting with Morse theory in Banach spaces, the book covers linking, the Fučík spectrum, critical groups, the minimax principle, jumping nonlinearities, sandwich pairs, and the cohomological index.

For Morse theory and linking the book gives applications. In set theory, the critical point of an elementary embedding of a transitive class into another transitive class is the smallest ordinal which is not mapped to itself. Suppose that: → is an elementary embedding where and are transitive classes and is definable in by a formula of set theory with parameters must take ordinals to ordinals and must be strictly increasing.

Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fucik spectrum in an abstract setting, sandwich pairs and the cohomological index.

Applications to semilinear elliptic boundary value problems, p-Laplacian problems and anisotropic systems are given. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and the cohomological index.

Applications to semilinear elliptic boundary value problems, p-Laplacian problems and anisotropic systems are given. Minimax Systems and Critical Point Theory by Martin Schechter,available at Book Depository with free delivery : Martin Schechter.

Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and the cohomological index.

Applications to semilinear elliptic boundary value problems, p-Laplacian problems and anisotropic systems are : Cambridge University Press.

This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods.

Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Brand: Cambridge University Press.

Minimax Theory and Applications by Biagio Ricceri,Stephen Simons Book Resume: The present volume contains the proceedings of the workshop on "Minimax Theory and Applications" that was held during the week 30 September - 6 October at the "G.

Stampacchia" International School of Mathematics of the "E. Majorana" Centre for Scientific Cul ture. introduction to minimax methods in critical point theory and their application to problems in differential equations.

The presentation of the abstract minimax theory is essentially self-contained. Most of the applications are to semilinear elliptic partial differential equations File Size: 2MB.

Critical theory is the reflective assessment and critique of society and culture by applying knowledge from the social sciences and the humanities to reveal and challenge power argues that social problems are influenced and created more by societal structures and cultural assumptions than by individual and psychological factors.

Additional Sources for Math Book Reviews; About MAA Reviews; Mathematical Communication; Information for Libraries; Author Resources; Advertise with MAA; Meetings.

MAA MathFest. Register Now; Registration Rates and Other Fees; Exhibitors and Sponsors; Abstracts; Mathematical Sessions. Invited Addresses; Invited Paper Sessions; Contributed Paper. We describe some main features of two books by Jean Mawhin devoted to critical point theory.

The book Problèmes de Dirichlet variationnels non linéaires () is a nice introduction to critical point theory. The main tools, – minimization, – dual least action principle, – minimax methods, and – Cited by: 1.

This book provides a systematic presentation of the most basic tools of critical point theory: minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik- Schirelmann theory for Z2 and S1 symmetries, Morse theory for possibly degenerate critical points and non Author: Jean Mawhin.

Three critical point results 20 A general variational principle 27 H1 versus C1 local minimizers 30 Application to sub and supersolutions 33 Szulkin type functionals 34 Minimax results of Szulkin type 35 Principle of symmetric criticality 37 Pohozaev’s ﬂbering method 40 Historical comments 42File Size: 1MB.

critical point theorem of Moussaoui [13]. Mathematics Subject Classiﬁcation: 85E05, 49J35, 47H05 Keywords: Critical point theory, Minimax theorems, strongly monotone operators, the least action principle 1 Introduction and origins of our results Abstract critical point theorems are important tool in Nonlinear Analysis.

Critical theory is a social theory oriented toward critiquing and changing society as a whole. It differs from traditional theory, which focuses only on understanding or explaining society. Critical theories aim to dig beneath the surface of social life and uncover the assumptions that keep human beings from a full and true understanding of how Author: Ashley Crossman.

Find many great new & used options and get the best deals for Cambridge Tracts in Mathematics: Topics in Critical Point Theory by Martin Schechter and Kanishka Perera (, Hardcover) at the best online prices at eBay.

Free shipping for many products. A general critical point theory for continuous functions defined on metric spaces has been recently developed. In this paper a new subdifferential, related to that theory, is introduced.

In particular, results on the subdifferential of a sum are proved. An example of application to PDEs is sketched. Detailed applications to PDEs are developed in separate by: $\begingroup$ I don't think you'll get far unless you're at the borderline where Condition C (and compactness) just barely fails.

If so, Uhlenbeck and others have shown in certain particular situations (minimal hypersurfaces and self-dual Yang-Mills connections are the most notable examples), there is a global minimum but it lives outside the original Hilbert manifold you started with.

Compra Critical Point Theory and Hamiltonian Systems. SPEDIZIONE GRATUITA su ordini idonei. Passa al contenuto principale.

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Tutte le categorie. VAI Format: Copertina flessibile. when I wrote the first edition of the book you now hold in your hands, and I come to believe it more with every critical theory class I teach.

I hope that your experience of the second edition of Critical Theory Today also leads you to find that small truth to be self‑evident. RTindb 12 6/29/06 PM. Minimax Estimators Finding minimax estimators is complicated and we cannot attempt a complete coverage of that theory here but we will mention a few key results.

The main message to take away from this section is: Bayes estimators with a constant risk function are minimax. Theorem 9 Let bbe the Bayes estimator for some prior ˇ.

If R(;b) BFile Size: KB. Minimax Methods in Critical Point Theory with Applications to Differential Equations的话题 (全部 条) 什么是话题 无论是一部作品、一个人，还是一件事，都往往可以衍生出许多不同的话题。.

The meaning of the term critical theory has changed in different historical contexts. From the end of World War II () through the s, the term referred to the use of critical and theoretical approaches within major disciplines of the humanities, including art.

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minimax principle, index theory, Ljusternik-Schnirelman theory, Morse theory Contents 1. Introduction b. Suppose, x0 is a critical point of f and furthermore that D2f(x0) > 0 (it positive definite) [This is a wonderful non-technical book on the calculus of variations and its applications in nature and geometry.] Kneser A.

Communication Theory study guide by daulton_j__leonard includes questions covering vocabulary, terms and more.

A critical point in a conversation where what one says next will affect the unfolding patter of interaction and potentially take it in a different direction Minimax principle of human behavior.

People seek to maximize their.M.R. Grossinho and S. Tersian An Introduction to Minimax Theorems and Their Applications to Diﬀerential Equations. Dordrecht: Kluwer Academic Publishers, +xii p. (hc). (Nonconvex Optimization and Its Applications, 52). ISBN The book is an introduction to critical point theory and its applications to diﬀerential.

Here is the video about Game theory with Pure Strategy and Mixed Strategy - In operations research, in this video we have solved a problem on Pure strategy a.