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Field name	Details
Dewey Class	514.74 (DDC 23)
Title	Sign-Changing Critical Point Theory ([Ebook]) / by Wenming Zou.
Author	Zou, Wenming
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Springer US , 2008.
Physical Details	: online resource.
ISBN	9780387766584
Summary Note	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 BrezisâNirenberg 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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-387-76657-7
Links to Related Works	Subject References: Approximations and Expansions . Critical point theory (Mathematical analysis) . Differential equations, Partial . Functional Analysis . Global analysis . Mathematical optimization . Mathematics . Partial differential equations . Topology . Authors: Zou, Wenming . Corporate Authors: SpringerLink (Online service) . Classification: 514.74 (DDC 23) .

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Sign-Changing Critical Point Theory

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