TY - BOOK AU - Drábek,Pavel AU - Milota,Jaroslav ED - SpringerLink (Online service) TI - Methods of Nonlinear Analysis: Applications to Differential Equations T2 - Birkhäuser Advanced Texts / Basler Lehrbücher SN - 9783764381479 AV - QA299.6-433 U1 - 515 23 PY - 2007/// CY - Basel PB - Birkhäuser Basel KW - Mathematics KW - Mathematical analysis KW - Analysis (Mathematics) KW - Functional analysis KW - Partial differential equations KW - Calculus of variations KW - Analysis KW - Functional Analysis KW - Partial Differential Equations KW - Calculus of Variations and Optimal Control; Optimization KW - Electronic books KW - local N1 - 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 N2 - 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 generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. It thus serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists UR - http://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/978-3-7643-8147-9 ER -