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 pro...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Zou, Wenming
التنسيق: Livre numérique
اللغة:Anglais
منشور في: New York, NY : Springer US 2008.
Cham : Springer Nature
الموضوعات:
الوصول للمادة أونلاين:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
Accès INSA CVL
ملاحظة: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Sign-changing critical point theory, Wenming Zou, New York, Springer, 2008, 1 vol. (XIII-278 p.), 978-0-387-76657-7
• Sign-Changing Critical Point Theory, Texte imprimé, 9780387568270
• Sign-Changing Critical Point Theory, Texte imprimé, 9781441945716
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505 0 |a Preliminaries -- Schechter Tintarev Linking -- Sign-Changing Saddle Point -- On a Brezis Nirenberg Theorem -- Even Functionals -- Parameter Dependence -- On a Bartsch Chang Wang Weth Theory. 
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520 |a 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. 
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650 |a Théorie des points critiques (analyse mathématique) 
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