Sign-Changing Critical Point Theory

Wenming Zou

ISBN 10: 038776657X / ISBN 13: 9780387766577

Editore: Springer US, 2008

Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Expands on a new theorem that has never before been seen in book formExplores applications in each chapter that involve Schroedinger equations or Dirichlet boundary value problemsGeneralizes the Brezis-Nirenberg critical point theorem. Codice articolo 5911068

Riassunto:

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.

Dalla quarta di copertina:

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 Brezis Nirenberg 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 Schrödinger 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, ©2006, Springer, ISBN: 978-0-387-32965-9.

Dati bibliografici

Titolo: Sign-Changing Critical Point Theory
Casa editrice: Springer US
Data di pubblicazione: 2008
Legatura: Gebunden
Condizione: New