Nonlinear Elliptic Boundary Value Problems And Their Applications
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Nonlinear Elliptic Boundary Value Problems And Their Applications
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Author : H Begehr
language : en
Publisher: CRC Press
Release Date : 1996-05-15
Nonlinear Elliptic Boundary Value Problems And Their Applications written by H Begehr and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-15 with Mathematics categories.
Methods For Analysis Of Nonlinear Elliptic Boundary Value Problems
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Author : I. V. Skrypnik
language : en
Publisher: American Mathematical Soc.
Release Date : 1994-01-01
Methods For Analysis Of Nonlinear Elliptic Boundary Value Problems written by I. V. Skrypnik and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
The theory of nonlinear elliptic equations is currently one of the most actively developing branches of the theory of partial differential equations. This book investigates boundary value problems for nonlinear elliptic equations of arbitrary order. In addition to monotone operator methods, a broad range of applications of topological methods to nonlinear differential equations is presented: solvability, estimation of the number of solutions, and the branching of solutions of nonlinear equations. Skrypnik establishes, by various procedures, a priori estimates and the regularity of solutions of nonlinear elliptic equations of arbitrary order. Also covered are methods of homogenization of nonlinear elliptic problems in perforated domains. The book is suitable for use in graduate courses in differential equations and nonlinear functional analysis.
Boundary Value Problems For Elliptic Equations And Systems
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Author : Guo Chun Wen
language : en
Publisher: Chapman & Hall/CRC
Release Date : 1990
Boundary Value Problems For Elliptic Equations And Systems written by Guo Chun Wen and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
This monograph mainly deals with several boundary value problems for linear and nonlinear elliptic equations and systems by using function theoretic methods. The established theory is systematic, the considered equations and systems, boundary conditions and domains are rather general. Various methods are used. As an application, the existence of nonlinear quasiconformal mappings onto canonical domains is proved.
Numerical Solution Of Nonlinear Elliptic Problems Via Preconditioning Operators
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Author : István Faragó
language : en
Publisher: Nova Publishers
Release Date : 2002
Numerical Solution Of Nonlinear Elliptic Problems Via Preconditioning Operators written by István Faragó and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators - Theory & Applications
Nonlinear Elliptic And Parabolic Problems
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Author : Michel Chipot
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-09
Nonlinear Elliptic And Parabolic Problems written by Michel Chipot 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 2006-02-09 with Mathematics categories.
Celebrates the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Containing 32 contributions, this volume covers a range of nonlinear elliptic and parabolic equations, with applications to natural sciences and engineering.
Qualitative Analysis Of Nonlinear Elliptic Partial Differential Equations
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Author : Vicentiu D. Radulescu
language : en
Publisher: Hindawi Publishing Corporation
Release Date : 2008
Qualitative Analysis Of Nonlinear Elliptic Partial Differential Equations written by Vicentiu D. Radulescu 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.
Nonlinear Elliptic Boundary Value Problems
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Author : I. V. Skrypnik
language : en
Publisher:
Release Date : 1986
Nonlinear Elliptic Boundary Value Problems written by I. V. Skrypnik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Boundary value problems categories.
Contributions To Nonlinear Elliptic Equations And Systems
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Author : Alexandre N. Carvalho
language : en
Publisher: Birkhäuser
Release Date : 2015-11-14
Contributions To Nonlinear Elliptic Equations And Systems written by Alexandre N. Carvalho and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-14 with Mathematics categories.
This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday. The articles it contains were born out of the ICMC Summer Meeting on Differential Equations – 2014 Chapter, also dedicated to de Figueiredo and held at the Universidade de São Paulo at São Carlos, Brazil from February 3-7, 2014. The contributing authors represent a group of international experts in the field and discuss recent trends and new directions in nonlinear elliptic partial differential equations and systems. Djairo Guedes de Figueiredo has had a very active scientific career, publishing 29 monographs and over one hundred research articles. His influence on Brazilian mathematics has made him one of the pillars of the subject in that country. He had a major impact on the development of analysis, especially in its application to nonlinear elliptic partial differential equations and systems throughout the entire world. The articles collected here pay tribute to him and his legacy and are intended for graduate students and researchers in mathematics and related areas who are interested in nonlinear elliptic partial differential equations and systems.
Nonlinear Partial Differential Equations
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Author : A Benkirane
language : en
Publisher: CRC Press
Release Date : 1996-04-11
Nonlinear Partial Differential Equations written by A Benkirane and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-11 with Mathematics categories.
This book presents a collection of selected contributions on recent results in nonlinear partial differential equations from participants to an international conference held in Fes, Morocco in 1994. The emphasis is on nonlinear elliptic boundary value problems, but there are also papers deveoted to related areas such as monotone operator theory, calculus of variations, Hamiltonian systems and periodic solutions. Some of the papers are exhaustive surveys, while others contain new results,published here for the first time. This book will be of particular interest to graduate or postgraduate students as well as to specialists in these areas.
Polyharmonic Boundary Value Problems
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Author : Filippo Gazzola
language : en
Publisher: Springer
Release Date : 2010-05-26
Polyharmonic Boundary Value Problems written by Filippo Gazzola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-26 with Mathematics categories.
This accessible monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded domains, mainly with the biharmonic or poly-harmonic operator as leading principal part. It provides rapid access to recent results and references.