Order Structure And Topological Methods In Nonlinear Partial Differential Equations Vol 1 Maximum Principles And Applications is popular PDF and ePub book, written by Yihong Du in 2006-01-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Order Structure And Topological Methods In Nonlinear Partial Differential Equations Vol 1 Maximum Principles And Applications can be Read Online from any device for your convenience.
Order Structure And Topological Methods In Nonlinear Partial Differential Equations Vol 1 Maximum Principles And Applications Book PDF Summary
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.
Detail Book of Order Structure And Topological Methods In Nonlinear Partial Differential Equations Vol 1 Maximum Principles And Applications PDF
- Author : Yihong Du
- Release : 12 January 2006
- Publisher : World Scientific
- ISBN : 9789814478854
- Genre : Mathematics
- Total Page : 202 pages
- Language : English
- PDF File Size : 18,7 Mb
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