Sign-Changing Critical Point Theory

2009
ISBN: 978-0-387-76657-7
Verlag: Springer US

Buch, Englisch, 310 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 612 g

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.

This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis.

Zielgruppe

Research

Autoren/Hrsg.

Zou, Wenming

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Topologie Analytische Topologie
• Mathematik | Informatik Mathematik Stochastik

Inhaltsverzeichnis

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