Minimax Theory and Applications

Minimax Theory and Applications
Author: Biagio Ricceri
Publisher: Springer Science & Business Media
Total Pages: 278
Release: 2013-06-29
Genre: Mathematics
ISBN: 940159113X

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The present volume contains the proceedings of the workshop on "Minimax Theory and Applications" that was held during the week 30 September - 6 October 1996 at the "G. Stampacchia" International School of Mathematics of the "E. Majorana" Centre for Scientific Cul ture in Erice (Italy) . The main theme of the workshop was minimax theory in its most classical meaning. That is to say, given a real-valued function f on a product space X x Y , one tries to find conditions that ensure the validity of the equality sup inf f(x,y) = inf sup f(x, y). yEY xEX xEX yEY This is not an appropriate place to enter into the technical details of the proofs of minimax theorems, or into the history of the contribu tions to the solution of this basic problem in the last 7 decades. But we do want to stress its intrinsic interest and point out that, in spite of its extremely simple formulation, it conceals a great wealth of ideas. This is clearly shown by the large variety of methods and tools that have been used to study it. The applications of minimax theory are also extremely interesting. In fact, the need for the ability to "switch quantifiers" arises in a seemingly boundless range of different situations. So, the good quality of a minimax theorem can also be judged by its applicability. We hope that this volume will offer a rather complete account of the state of the art of the subject.


Minimax Theory and Applications
Language: en
Pages: 278
Authors: Biagio Ricceri
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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The present volume contains the proceedings of the workshop on "Minimax Theory and Applications" that was held during the week 30 September - 6 October 1996 at
Minimax and Applications
Language: en
Pages: 300
Authors: Ding-Zhu Du
Categories: Computers
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

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Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In gen
Minimax Theorems
Language: en
Pages: 168
Authors: Michel Willem
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Many boundary value problems are equivalent to Au=O (1) where A : X --+ Y is a mapping between two Banach spaces. When the problem is variational, there exists
Minimax Methods in Critical Point Theory with Applications to Differential Equations
Language: en
Pages: 110
Authors: Paul H. Rabinowitz
Categories: Mathematics
Type: BOOK - Published: 1986-07-01 - Publisher: American Mathematical Soc.

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The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. A
Morse Theory, Minimax Theory and Their Applications to Nonlinear Differential Equations
Language: en
Pages: 0
Authors: Haim Brézis
Categories: Chebyshev approximation
Type: BOOK - Published: 2003 - Publisher:

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This volume contains both survey and creative papers dealing with Morse theory, minimax theory, iteration theory of Maslov-type index and critical minimization