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Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains


Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains
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Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains


Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains
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Author : Edward Norman Dancer
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains written by Edward Norman Dancer 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 1993 with Mathematics categories.


In this paper, we discuss the existence, uniqueness and asymptotic behavior of positive solutions of the equation −[capital Greek]Delta[italic]u = [lowercase Greek]Lambda[function]ƒ([italic]u) in [capital Greek]Omega[surmounted by macron] [times symbol] [−[italic]n, [italic]n], [and] [italic]u = 0 on [partial derivative/boundary/degree of a polynomial symbol]([capital Greek]Omega[surmounted by macron] [times symbol] [−[italic]n, [italic]n]) for [italic]n large. Here [capital Greek]Omega[surmounted by macron] is a bounded domain in [italic capital]R[superscript italic]k with smooth boundary. Note that by rescaling the equation (including [lowercase Greek]Lambda), our theory covers problems on domains ([set membership symbol][capital Greek]Omega[surmounted by macron]) [times symbol] [−1,1] where [set membership symbol] is small.



Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains


Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains
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Author : Edward Norman Dancer
language : en
Publisher: Taylor & Francis
Release Date : 1993

Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains written by Edward Norman Dancer and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.




Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains


Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains
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Author : Edward Norman Dancer
language : en
Publisher: Oxford University Press, USA
Release Date : 2014-08-31

Weakly Nonlinear Dirichlet Problems On Long Or Thin Domains written by Edward Norman Dancer and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-31 with MATHEMATICS categories.


Presents a basic theory for nonlinear elliptic equations on long or thin domains for Dirichlet boundary conditions. This book describes Dirichlet problems which are of significant interest in applications.



Hilbert S Projective Metric And Iterated Nonlinear Maps


Hilbert S Projective Metric And Iterated Nonlinear Maps
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Author : Roger D. Nussbaum
language : en
Publisher: American Mathematical Soc.
Release Date : 1988

Hilbert S Projective Metric And Iterated Nonlinear Maps written by Roger D. Nussbaum 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 1988 with Mathematics categories.




Stable Solutions Of Elliptic Partial Differential Equations


Stable Solutions Of Elliptic Partial Differential Equations
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Author : Louis Dupaigne
language : en
Publisher: CRC Press
Release Date : 2011-03-15

Stable Solutions Of Elliptic Partial Differential Equations written by Louis Dupaigne and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-15 with Mathematics categories.


Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space.



Nonlinear Functional Analysis And Its Applications


Nonlinear Functional Analysis And Its Applications
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Author : E. Zeidler
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Nonlinear Functional Analysis And Its Applications written by E. Zeidler 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 2013-12-01 with Mathematics categories.


The main concern in all scientific work must be the human being himsel[ This, one should never forget among all those diagrams and equations. Albert Einstein This volume is part of a comprehensive presentation of nonlinear functional analysis, the basic content of which has been outlined in the Preface of Part I. A Table of Contents for all five volumes may also be found in Part I. The Part IV and the following Part V contain applications to mathematical present physics. Our goals are the following: (i) A detailed motivation of the basic equations in important disciplines of theoretical physics. (ii) A discussion of particular problems which have played a significant role in the development of physics, and through which important mathe matical and physical insight may be gained. (iii) A combination of classical and modern ideas. (iv) An attempt to build a bridge between the language and thoughts of physicists and mathematicians. Weshall always try to advance as soon as possible to theheart ofthe problern under consideration and to concentrate on the basic ideas.



Harmonic Analysis For Anisotropic Random Walks On Homogeneous Trees


Harmonic Analysis For Anisotropic Random Walks On Homogeneous Trees
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Author : Alessandro Figà-Talamanca
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Harmonic Analysis For Anisotropic Random Walks On Homogeneous Trees written by Alessandro Figà-Talamanca 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 with Mathematics categories.


This work presents a detailed study of the anisotropic series representations of the free product group Z/2Z*...*Z/2Z. These representations are infinite dimensional, irreducible, and unitary and can be divided into principal and complementary series. Anisotropic series representations are interesting because, while they are not restricted from any larger continuous group in which the discrete group is a lattice, they nonetheless share many properties of such restrictions. The results of this work are also valid for nonabelian free groups on finitely many generators.



Duality And Definability In First Order Logic


Duality And Definability In First Order Logic
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Author : Michael Makkai
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Duality And Definability In First Order Logic written by Michael Makkai 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 1993 with Mathematics categories.


We develop a duality theory for small Boolean pretoposes in which the dual of the [italic capital]T is the groupoid of models of a Boolean pretopos [italic capital]T equipped with additional structure derived from ultraproducts. The duality theorem states that any small Boolean pretopos is canonically equivalent to its double dual. We use a strong version of the duality theorem to prove the so-called descent theorem for Boolean pretoposes which says that category of descent data derived from a conservative pretopos morphism between Boolean pretoposes is canonically equivalent to the domain-pretopos. The descent theorem contains the Beth definability theorem for classical first order logic. Moreover, it gives, via the standard translation from the language of categories to symbolic logic, a new definability theorem for classical first order logic concerning set-valued functors on models, expressible in purely syntactical (arithmetical) terms.



Abelian Coverings Of The Complex Projective Plane Branched Along Configurations Of Real Lines


Abelian Coverings Of The Complex Projective Plane Branched Along Configurations Of Real Lines
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Author : Eriko Hironaka
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Abelian Coverings Of The Complex Projective Plane Branched Along Configurations Of Real Lines written by Eriko Hironaka 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 1993 with Mathematics categories.


This work studies abelian branched coverings of smooth complex projective surfaces from the topological viewpoint. Geometric information about the coverings (such as the first Betti numbers of a smooth model or intersections of embedded curves) is related to topological and combinatorial information about the base space and branch locus. Special attention is given to examples in which the base space is the complex projective plane and the branch locus is a configuration of lines.



A Topological Chern Weil Theory


A Topological Chern Weil Theory
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Author : Anthony Valiant Phillips
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

A Topological Chern Weil Theory written by Anthony Valiant Phillips 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 1993 with Mathematics categories.


We examine the general problem of computing characteristic invariants of principal bundles whose structural group [italic capital]G is a topological group. Under the hypothesis that [italic capital]G has real cohomology finitely generated as an [bold]R-module, we are able to give a completely topological, local method for computing representative cocycles for real characteristic classes; our method applies, for example, to the (homologically) 10-dimensional non-Lie group of Hilton-Roitberg-Stasheff.