عنوان

An Introduction to Minimax Theorems and Their Applications to Differential Equations

شابک

9781441948496

شابک

9781475733082

شماره

dltt

عنوان اصلي

An Introduction to Minimax Theorems and Their Applications to Differential Equations

نام عام مواد

[Book]

نام نخستين پديدآور

by Maria Rosário Grossinho, Stepan Agop Tersian.

محل نشرو پخش و غیره

Boston, MA :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

2001.

عنوان فروست

Nonconvex Optimization and Its Applications,

مشخصه جلد

52

شاپا ي ISSN فروست

1571-568X ;

متن يادداشت

1. Minimization and Mountain-Pass Theorems -- 2. Saddle-Point and Linking Theorems -- 3. Applications to Elliptic Problems in Bounded Domains -- 4. Periodic Solutions for Some Second-Order Differential Equations -- 5. Dual Variational Method and Applications -- 6. Minimax Theorems for Locally Lipschitz Functionals and Applications -- 7. Homoclinic Solutions of Differential Equations -- Notations.

بدون عنوان

0

متن يادداشت

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 Fnkhet's 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.

شماره استاندارد بين المللي کتاب و موسيقي

9781441948496

عنوان

Springer eBooks

موضوع مستند نشده

Differential equations, Partial.

موضوع مستند نشده

Functional analysis.

موضوع مستند نشده

Functional equations.

موضوع مستند نشده

Mathematical optimization.

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Rosário Grossinho, Maria.

مستند نام اشخاص تاييد نشده

Tersian, Stepan Agop.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307154600.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y