TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Sign-Changing Critical Point Theory
SN  - 9780387766584
PY  - 2008///
CY  - Boston, MA
PB  - Springer US
KW  - Mathematics
KW  - Functional analysis
KW  - Global analysis
KW  - Differential equations, partial
KW  - Mathematical optimization
KW  - Topology
KW  - Approximations and Expansions
KW  - Functional Analysis
KW  - Partial Differential Equations
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Global Analysis and Analysis on Manifolds
N1  - Preliminaries -- SchechterTintarev Linking -- Sign-Changing Saddle Point -- On a BrezisNirenberg Theorem -- Even Functionals -- Parameter Dependence -- On a BartschChangWangWeth Theory; ZDB-2-SMA
N2  - Many nonlinear problems in physics, engineering, biology, and social sciences can be reduced to finding critical points of functionals. While minimax and Morse theories provide answers to many situations and problems on the existence of multiple critical points of a functional, they often cannot provide much-needed additional properties of these critical points. Sign-changing critical point theory has emerged as a new area of rich research on critical points of a differentiable functional with important applications to nonlinear elliptic PDEs. Key features of this book: * Self-contained in-depth treatment of sign-changing critical point theory * Further explorations in minimax and Morse theories * Topics devoted to linking and nodal solutions, the sign-changing saddle point theory, the generalized BrezisNirenberg critical point theorem, the parameter dependence of sign-changing critical points * Applications of sign-changing critical point theory studied within the classical symmetric mountain pass theorem *Applies sign-changing concepts to Schrȵdinger equations and boundary value problems This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis. Also by the author: (with Martin Schechter) Critical Point Theory and Its Applications, è2006, Springer, ISBN: 978-0-387-32965-9
UR  - http://dx.doi.org/10.1007/978-0-387-76657-7
ER  -