ENGLISH

An Introduction to Minimax Theorems and Their Applications to Differential Equations

By Maria do Rosário Grossinho , Stepan Agop Tersian (auth.)

Book information

Publisher
Springer US
Year
2001
ISBN
978-1-4419-4849-6, 978-1-4757-3308-2
DOI
10.1007/978-1-4757-3308-2
Language
english
Format
PDF
Filesize
6 MB (5978781 bytes)
Series
Nonconvex Optimization and Its Applications 52
Edition
1
Pages
274\279
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Partial Differential Equations; Difference and Fun

Description

The book is intended to be an introduction to critical point theory and its applications to differential equations. Although the related material can be found in other books, the authors of this volume have had the following goals in mind: To present a survey of existing minimax theorems, To give applications to elliptic differential equations in bounded domains, 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 give applications to fourth-order differential equations with discontinuous nonlinearities, To study homoclinic solutions of differential equations via the variational methods. The contents of the book consist of seven chapters, each one divided into several sections. Audience: Graduate and post-graduate students as well as specialists in the fields of differential equations, variational methods and optimization.

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