Methods of Nonlinear Analysis Applications to Differential Equations /

• Main Authors: Drábek, Pavel (Author), Milota, Jaroslav (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Birkhäuser Advanced Texts / Basler Lehrbücher
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Partial differential equations.; Calculus of variations.; Analysis.; Functional Analysis.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizatio...

Table of Contents:

• Preliminaries
• Properties of Linear and Nonlinear Operators
• Abstract Integral and Differential Calculus
• Local Properties of Differentiable Mappings
• Topological and Monotonicity Methods
• Variational Methods
• Boundary Value Problems for Partial Differential Equations.