Maria do Ros?rio Grossinho; Stepan Agop Tersian An Introduction to Minimax Theorems and Their Applications to Differential Equations 9781441948496

Варианты приобретения

Цена: 20956.00р.
Кол-во:
Наличие: Поставка под заказ. Есть в наличии на складе поставщика.
Склад Америка: Есть
При оформлении заказа до: 2025-09-15
Ориентировочная дата поставки: Октябрь
При условии наличия книги у поставщика.

Добавить в корзину

в Мои желания

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
Рейтинг:
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.

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