Maximum Principles in Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Maximum Principles in Differential Equations write by Murray H. Protter. This book was released on 2012-12-06. Maximum Principles in Differential Equations available in PDF, EPUB and Kindle. Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications.
The Maximum Principle
The Maximum Principle - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Maximum Principle write by Patrizia Pucci. This book was released on 2007-12-23. The Maximum Principle available in PDF, EPUB and Kindle. Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations.
Order Structure and Topological Methods in Nonlinear Partial Differential Equations
Order Structure and Topological Methods in Nonlinear Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Order Structure and Topological Methods in Nonlinear Partial Differential Equations write by Yihong Du. This book was released on 2006. Order Structure and Topological Methods in Nonlinear Partial Differential Equations available in PDF, EPUB and Kindle. 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.
Maximum Principles and Geometric Applications
Maximum Principles and Geometric Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Maximum Principles and Geometric Applications write by Luis J. Alías. This book was released on 2016-02-13. Maximum Principles and Geometric Applications available in PDF, EPUB and Kindle. This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators is given, as well as a corresponding weak maximum principle and its equivalent open form and parabolicity as a special stronger formulation of the latter. In the second part, the attention focuses on a wide range of applications, mainly to geometric problems, but also on some analytic (especially PDEs) questions including: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian targets, Ricci solitons, Liouville theorems, uniqueness of solutions of Lichnerowicz-type PDEs and so on. Maximum Principles and Geometric Applications is written in an easy style making it accessible to beginners. The reader is guided with a detailed presentation of some topics of Riemannian geometry that are usually not covered in textbooks. Furthermore, many of the results and even proofs of known results are new and lead to the frontiers of a contemporary and active field of research.
An Introduction to Maximum Principles and Symmetry in Elliptic Problems
An Introduction to Maximum Principles and Symmetry in Elliptic Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Maximum Principles and Symmetry in Elliptic Problems write by L. E. Fraenkel. This book was released on 2000-02-25. An Introduction to Maximum Principles and Symmetry in Elliptic Problems available in PDF, EPUB and Kindle. Advanced text, originally published in 2000, on differential equations, with plentiful supply of exercises all with detailed hints.
