An Introduction To Maximum Principles And Symmetry In Elliptic Problems

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An Introduction To Maximum Principles And Symmetry In Elliptic Problems

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Author : L. E. Fraenkel
language : en
Publisher: Cambridge University Press
Release Date : 2000-02-25

An Introduction To Maximum Principles And Symmetry In Elliptic Problems written by L. E. Fraenkel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-02-25 with Mathematics categories.

Advanced text, originally published in 2000, on differential equations, with plentiful supply of exercises all with detailed hints.

Handbook Of Differential Equations Stationary Partial Differential Equations

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Author : Michel Chipot
language : en
Publisher: Elsevier
Release Date : 2007-05-03

Handbook Of Differential Equations Stationary Partial Differential Equations written by Michel Chipot and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-03 with Mathematics categories.

A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.- written by well-known experts in the field- self contained volume in series covering one of the most rapid developing topics in mathematics

Nonlinear Pdes In Condensed Matter And Reactive Flows

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Author : Henri Berestycki
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-11-30

Nonlinear Pdes In Condensed Matter And Reactive Flows written by Henri Berestycki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-30 with Mathematics categories.

Proceedings of the NATO Advanced Study Institute on PDEs in Models of Superfluidity, Superconductivity and Reactive Flows, held in Cargèse, France, from 21 June to 3 July 1999

Symmetrization And Stabilization Of Solutions Of Nonlinear Elliptic Equations

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Author : Messoud Efendiev
language : en
Publisher: Springer
Release Date : 2018-10-17

Symmetrization And Stabilization Of Solutions Of Nonlinear Elliptic Equations written by Messoud Efendiev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-17 with Mathematics categories.

This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains. The usage of infinite dimensional dynamical systems methods for elliptic problems in unbounded domains as well as finite dimensional reduction of their dynamics requires new ideas and tools. To this end, both a trajectory dynamical systems approach and new Liouville type results for the solutions of some class of elliptic equations are used. The work also uses symmetry and monotonicity results for nonnegative solutions in order to characterize an asymptotic profile of solutions and compares a pure elliptic partial differential equations approach and a dynamical systems approach. The new results obtained will be particularly useful for mathematical biologists.

The Maximum Principle

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Author : Patrizia Pucci
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-23

The Maximum Principle written by Patrizia Pucci and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-23 with Mathematics categories.

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.

An Introduction To The Geometrical Analysis Of Vector Fields With Applications To Maximum Principles And Lie Groups

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Author : Stefano Biagi
language : en
Publisher: World Scientific
Release Date : 2018-12-05

An Introduction To The Geometrical Analysis Of Vector Fields With Applications To Maximum Principles And Lie Groups written by Stefano Biagi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-05 with Mathematics categories.

This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings:

Proceedings Of The Conference On Differential Difference Equations And Applications

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Author : Ravi P. Agarwal
language : en
Publisher: Hindawi Publishing Corporation
Release Date : 2006

Proceedings Of The Conference On Differential Difference Equations And Applications written by Ravi P. Agarwal and has been published by Hindawi Publishing Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Difference equations categories.

Qualitative Analysis Of Nonlinear Elliptic Partial Differential Equations

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Author : Vicenţiu Rǎdulescu
language : en
Publisher: Hindawi Publishing Corporation
Release Date : 2008

Qualitative Analysis Of Nonlinear Elliptic Partial Differential Equations written by Vicenţiu Rǎdulescu and has been published by Hindawi Publishing Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differential equations, Elliptic categories.

This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations. These equations can be seen as nonlinear versions of the classical Laplace equation, and they appear as mathematical models in different branches of physics, chemistry, biology, genetics, and engineering and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on the calculus of variations and functional analysis. Concentrating on single-valued or multivalued elliptic equations with nonlinearities of various types, the aim of this volume is to obtain sharp existence or nonexistence results, as well as decay rates for general classes of solutions. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including bifurcation, stability, asymptotic analysis, and optimal regularity of solutions. The method of presentation should appeal to readers with different backgrounds in functional analysis and nonlinear partial differential equations. All chapters include detailed heuristic arguments providing thorough motivation of the study developed later on in the text, in relationship with concrete processes arising in applied sciences. A systematic description of the most relevant singular phenomena described in this volume includes existence (or nonexistence) of solutions, unicity or multiplicity properties, bifurcation and asymptotic analysis, and optimal regularity. The book includes an extensive bibliography and a rich index, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of nonlinear phenomena described by elliptic partial differential equations.

Order Structure And Topological Methods In Nonlinear Partial Differential Equations Vol 1 Maximum Principles And Applications

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Author : Yihong Du
language : en
Publisher: World Scientific
Release Date : 2006-01-12

Order Structure And Topological Methods In Nonlinear Partial Differential Equations Vol 1 Maximum Principles And Applications written by Yihong Du and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-12 with Mathematics categories.

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.

Order Structure And Topological Methods In Nonlinear Partial Differential Equations

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Author : Yihong Du
language : en
Publisher: World Scientific
Release Date : 2006

Order Structure And Topological Methods In Nonlinear Partial Differential Equations written by Yihong Du and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

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.