Order Structure And Topological Methods In Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles And Applications
Seiten
2006
World Scientific Publishing Co Pte Ltd (Verlag)
9789812566249 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
9789812566249 (ISBN)
The maximum principle induces an order structure for partial differential equations, and is an important tool in nonlinear analysis. This book introduces the applications of order structure in nonlinear partial differential equation problems. It presents the upper and lower solution method with enough generality to cater for wide applications.
The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.
The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.
# Krein-Rutman Theorem and the Principal Eigenvalue # Maximum Principles Revisited # The Moving Plane Method # The Method of Upper and Lower Solutions # The Logistic Equation # Boundary Blow-Up Problems # Symmetry and Liouville Type Results Over Half and Entire Spaces
| Erscheint lt. Verlag | 13.1.2006 |
|---|---|
| Reihe/Serie | Series On Partial Differential Equations And Applications ; 2 |
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-13 | 9789812566249 / 9789812566249 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Festigkeits- und Verformungslehre, Baudynamik, Wärmeübertragung, …
Buch | Hardcover (2025)
De Gruyter Oldenbourg (Verlag)
CHF 125,90
Eine anwendungsorientierte Einführung
Buch | Softcover (2024)
Springer Spektrum (Verlag)
CHF 55,95
