Sign-Changing Critical Point Theory

• Main Author: Zou, Wenming (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2008.
• Subjects: Mathematics.; Approximation theory.; Functional analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Calculus of variations.; Topology.; Global Analysis and Analysis on Manifolds.; Calculus of Variations and Optimal Control; Optimization.; Partial Differential Equations.; Functional Analysis.; Approximations and Expansions.

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 pro...

Table of Contents:

• Preliminaries
• Schechter–Tintarev Linking
• Sign-Changing Saddle Point
• On a Brezis–Nirenberg Theorem
• Even Functionals
• Parameter Dependence
• On a Bartsch–Chang–Wang–Weth Theory.