Sign-Changing Critical Point Theory

Zou, Wenming

ISBN 10: 1441945717 / ISBN 13: 9781441945716

Edité par Springer-Verlag New York Inc., 2010

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. Num Pages: 310 pages, biography. BIC Classification: PBPH. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 15. Weight in Grams: 416. . 2010. 1st ed. Softcover of orig. ed. 2009. Paperback. . . . . N° de réf. du vendeur V9781441945716

Synopsis :

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: (1) Self-contained in-depth treatment of sign-changing critical point theory; (2) Further explorations in Minimax and Morse theories; (3) 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; (3) Applications of sign-changing critical point theory studied within the classical symmetric mountain pass theorem; (4)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.

Présentation de l'éditeur:

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.

Détails bibliographiques

Titre : Sign-Changing Critical Point Theory
Éditeur : Springer-Verlag New York Inc.
Date d'édition : 2010
Reliure : Couverture souple
Etat : New
Edition : Edition originale