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An Introduction to Minimax Theorems and Their Applications to Differential Equations, Maria do Ros?rio Grossinho; Stepan Agop Tersian


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Автор: Maria do Ros?rio Grossinho; Stepan Agop Tersian
Название:  An Introduction to Minimax Theorems and Their Applications to Differential Equations
ISBN: 9781441948496
Издательство: Springer
Классификация: ISBN-10: 144194849X
Обложка/Формат: Paperback
Страницы: 274
Вес: 0.41 кг.
Дата издания: 02.12.2010
Серия: Nonconvex Optimization and Its Applications
Язык: English
Размер: 229 x 155 x 18
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This text is meant to be an introduction to critical point theory and its ap- plications to differential equations. It is designed for graduate and postgrad- uate students as well as for specialists in the fields of differential equations, variational methods and optimization. Although related material can be the treatment here has the following main purposes: found in other books, - To present a survey on existing minimax theorems, - To give applications to elliptic differential equations in bounded do- mains and periodic second-order ordinary differential equations, - To consider the dual variational method for problems with continuous and discontinuous nonlinearities, - To present some elements of critical point theory for locally Lipschitz functionals and to give applications to fourth-order differential equa- tions with discontinuous nonlinearities, - To study homo clinic solutions of differential equations via the varia- tional method. The Contents of the book consist of seven chapters, each one divided into several sections. A bibliography is attached to the end of each chapter. In Chapter I, we present minimization theorems and the mountain-pass theorem of Ambrosetti-Rabinowitz and some of its extensions. The con- cept of differentiability of mappings in Banach spaces, the Fnkhets and Gateaux derivatives, second-order derivatives and general minimization the- orems, variational principles of Ekeland EkI] and Borwein & Preiss BP] are proved and relations to the minimization problem are given. Deformation lemmata, Palais-Smale conditions and mountain-pass theorems are consid- ered.


Minimax Algebra

Автор: R. A. Cuninghame-Green
Название: Minimax Algebra
ISBN: 3540091130 ISBN-13(EAN): 9783540091134
Издательство: Springer
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Цена: 15372.00 р.
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Описание: A number of different problems of interest to the operational researcher and the mathematical economist - for example, certain problems of optimization on graphs and networks, of machine-scheduling, of convex analysis and of approx- imation theory - can be formulated in a convenient way using the algebraic structure (R, $, @) where we may think of R as the (extended) real-number system with the binary combining operations x$y, x(R)y defined to be max(x, y), (x+y) respectively. The use of this algebraic structure gives these problems the character of problems of linear algebra, or linear operator theory. This fact hB.s been independently discovered by a number of people working in various fields and in different notations, and the starting-point for the present Lecture Notes was the writer's persuasion that the time had arrived to present a unified account of the algebra of linear transformations of spaces of n-tuples over (R, $, (R)), to demonstrate its relevance to operational research and to give solutions to the standard linear-algebraic problems which arise - e.g. the solution of linear equations exactly or approximately, the eigenvector- eigenvalue problem andso on.Some of this material contains results of hitherto unpublished research carried out by the writer during the years 1970-1977.

Minimax Theory of Image Reconstruction

Автор: A.P. Korostelev; A.B. Tsybakov
Название: Minimax Theory of Image Reconstruction
ISBN: 0387940286 ISBN-13(EAN): 9780387940281
Издательство: Springer
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Цена: 16769.00 р.
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Описание: There exists a large variety of image reconstruction methods proposed by different authors (see e. We assume that the image belongs to a certain functional class and we find the image estimators that achieve the best order of accuracy for the worst images in the class.

An Introduction to Minimax Theorems and Their Applications to Differential Equations

Автор: Maria do Ros?rio Grossinho; Stepan Agop Tersian
Название: An Introduction to Minimax Theorems and Their Applications to Differential Equations
ISBN: 0792368320 ISBN-13(EAN): 9780792368328
Издательство: Springer
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Цена: 20956.00 р.
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Описание: This text is intended to be an introduction to critical point theory and its applications to differential equations. Its goals include: presenting a survey of existing minimax theorems; and giving applications to elliptic differential equations in bounded domains.

Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

Автор: Dumitru Motreanu; Panagiotis D. Panagiotopoulos
Название: Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
ISBN: 1461368200 ISBN-13(EAN): 9781461368205
Издательство: Springer
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Цена: 20962.00 р.
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Minimax Theorems

Автор: Michel Willem
Название: Minimax Theorems
ISBN: 1461286735 ISBN-13(EAN): 9781461286738
Издательство: Springer
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Цена: 19559.00 р.
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Описание: 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 a differentiable functional 0 and e E X such that lIell > rand inf

Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities

Автор: Dumitru Motreanu; Panagiotis D. Panagiotopoulos
Название: Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities
ISBN: 0792354567 ISBN-13(EAN): 9780792354567
Издательство: Springer
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Цена: 25149.00 р.
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Описание: Studies a different type of eigenvalue problem, one that is very useful for applications: eigenvalue problems related to hemivariational inequalities, that is involving nonsmooth, nonconvex, energy functions. This book also studies nonresonant and resonant cases both for static and dynamic problems.

Minimax and Applications

Автор: Ding-Zhu Du; Panos M. Pardalos
Название: Minimax and Applications
ISBN: 1461335590 ISBN-13(EAN): 9781461335597
Издательство: Springer
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Цена: 30606.00 р.
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Описание: Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In general, a minimax problem can be formulated as min max f(x, y) (1) ",EX !lEY where f(x, y) is a function defined on the product of X and Y spaces.

Minimax Theory and Applications

Автор: Biagio Ricceri; Stephen Simons
Название: Minimax Theory and Applications
ISBN: 9048150302 ISBN-13(EAN): 9789048150304
Издательство: Springer
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Цена: 21655.00 р.
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Minimax Theory and Applications

Автор: Biagio Ricceri; Stephen Simons
Название: Minimax Theory and Applications
ISBN: 0792350642 ISBN-13(EAN): 9780792350644
Издательство: Springer
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Цена: 21655.00 р.
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Описание: These proceedings deal with classical minimax theory and look at the role of connectedness, which replaces that of convexity appearing in most classical results. The applications concern, among other things, game theory, integral functionals and monotone operators.

Fixed Point Theorems and Their Applications

Автор: Farmakis Ioannis
Название: Fixed Point Theorems and Their Applications
ISBN: 9814458910 ISBN-13(EAN): 9789814458917
Издательство: World Scientific Publishing
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Цена: 12672.00 р.
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Описание: This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.

Selection Theorems and Their Applications

Автор: T. Parthasarathy
Название: Selection Theorems and Their Applications
ISBN: 3540058184 ISBN-13(EAN): 9783540058182
Издательство: Springer
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Цена: 3487.00 р.
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Minimax Solutions in Sampling from Finite Populations

Автор: Siegfried Gabler
Название: Minimax Solutions in Sampling from Finite Populations
ISBN: 0387973583 ISBN-13(EAN): 9780387973586
Издательство: Springer
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Цена: 16070.00 р.
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