Sign-Changing Critical Point Theory
(Sprache: Englisch)
This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis. It expands on a new theorem that has never before been seen in book form.
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This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis. It expands on a new theorem that has never before been seen in book form.
Klappentext zu „Sign-Changing Critical Point Theory “
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.
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.
This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis.
Inhaltsverzeichnis zu „Sign-Changing Critical Point Theory “
- Preface- Introduction
1. Preliminaries
2. Sign-changing critical points via linking
3. Sign-changing saddle point
4. On a Brezis-Nirenberg theorem
5. Even functionals
6. Nonsymmetric functionals
7. Parameter dependence
- Bibliography
- Index
Bibliographische Angaben
- Autor: Wenming Zou
- 2010, Softcover reprint of hardcover 1st ed. 2009, XIV, 310 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1441945717
- ISBN-13: 9781441945716
Sprache:
Englisch
Pressezitat
From the reviews: "The book under review presents the contemporary state of the art in critical point theory with strong emphasis on topological methods. ... The volume concludes with a rich bibliography of 351 titles, many of them very recent. ... advanced, examples included in the text form an excellent review of the frontline of actual research in the area. ... In conclusion ... very good reference for those seeking new, modern, and powerful techniques in the critical point theory approach of nonlinear differential and partial differential equations." (Vicentiu Radulescu, Mathematical Reviews, Issue 2009 f)
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