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Author : Mariano Giaquinta
Publisher : Princeton University Press
Page : 312 pages
File Size : 29,94 MB
Release : 1983-11-21
Category : Mathematics
ISBN : 9780691083315
The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105, will be forthcoming.
Author : Mariano Giaquinta
Publisher : Princeton University Press
Page : 296 pages
File Size : 22,78 MB
Release : 2016-03-02
Category : Mathematics
ISBN : 1400881625
The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105, will be forthcoming.
Author : Mariano Giaquinta
Publisher :
Page : 296 pages
File Size : 24,49 MB
Release : 1983
Category : Calculus of variations
ISBN : 9780591083316
Author :
Publisher :
Page : 248 pages
File Size : 46,49 MB
Release : 1974
Category : Securities
ISBN :
Author : Charles Bradfield Morrey Jr.
Publisher : Springer
Page : 506 pages
File Size : 28,15 MB
Release : 2008-09-08
Category : Mathematics
ISBN : 9783540699156
From the reviews: "...the book contains a wealth of material essential to the researcher concerned with multiple integral variational problems and with elliptic partial differential equations. The book not only reports the researches of the author but also the contributions of his contemporaries in the same and related fields. The book undoubtedly will become a standard reference for researchers in these areas. ...The book is addressed mainly to mature mathematical analysts. However, any student of analysis will be greatly rewarded by a careful study of this book." M. R. Hestenes in Journal of Optimization Theory and Applications "The work intertwines in masterly fashion results of classical analysis, topology, and the theory of manifolds and thus presents a comprehensive treatise of the theory of multiple integral variational problems." L. Schmetterer in Monatshefte für Mathematik "The book is very clearly exposed and contains the last modern theory in this domain. A comprehensive bibliography ends the book." M. Coroi-Nedeleu in Revue Roumaine de Mathématiques Pures et Appliquées
Author : Charles Bradfield Morrey, Jr.
Publisher :
Page : 528 pages
File Size : 34,21 MB
Release : 2008-10-01
Category :
ISBN : 9783540884859
From the reviews: "a ]the book contains a wealth of material essential to the researcher concerned with multiple integral variational problems and with elliptic partial differential equations. The book not only reports the researches of the author but also the contributions of his contemporaries in the same and related fields. The book undoubtedly will become a standard reference for researchers in these areas. a ]The book is addressed mainly to mature mathematical analysts. However, any student of analysis will be greatly rewarded by a careful study of this book." M. R. Hestenes in Journal of Optimization Theory and Applications "The work intertwines in masterly fashion results of classical analysis, topology, and the theory of manifolds and thus presents a comprehensive treatise of the theory of multiple integral variational problems." L. Schmetterer in Monatshefte fA1/4r Mathematik "The book is very clearly exposed and contains the last modern theory in this domain. A comprehensive bibliography ends the book." M. Coroi-Nedeleu in Revue Roumaine de MathA(c)matiques Pures et AppliquA(c)es
Author : Alain Bensoussan
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 37,55 MB
Release : 2013-04-17
Category : Mathematics
ISBN : 3662129051
This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. These are applied in various cases to provide useful examples and relevant results, particularly in such fields as fluid mechanics, solid mechanics, semiconductor theory and game theory.
Author : Felix E. Browder
Publisher : American Mathematical Soc.
Page : 591 pages
File Size : 14,50 MB
Release : 1986
Category : Mathematics
ISBN : 0821814729
Author : Mariano Giaquinta
Publisher : Springer Science & Business Media
Page : 373 pages
File Size : 39,22 MB
Release : 2013-07-30
Category : Mathematics
ISBN : 8876424431
This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 in Paris: 19th problem: Are the solutions to regular problems in the Calculus of Variations always necessarily analytic? 20th problem: does any variational problem have a solution, provided that certain assumptions regarding the given boundary conditions are satisfied, and provided that the notion of a solution is suitably extended? During the last century these two problems have generated a great deal of work, usually referred to as regularity theory, which makes this topic quite relevant in many fields and still very active for research. However, the purpose of this volume, addressed mainly to students, is much more limited. We aim to illustrate only some of the basic ideas and techniques introduced in this context, confining ourselves to important but simple situations and refraining from completeness. In fact some relevant topics are omitted. Topics include: harmonic functions, direct methods, Hilbert space methods and Sobolev spaces, energy estimates, Schauder and L^p-theory both with and without potential theory, including the Calderon-Zygmund theorem, Harnack's and De Giorgi-Moser-Nash theorems in the scalar case and partial regularity theorems in the vector valued case; energy minimizing harmonic maps and minimal graphs in codimension 1 and greater than 1. In this second deeply revised edition we also included the regularity of 2-dimensional weakly harmonic maps, the partial regularity of stationary harmonic maps, and their connections with the case p=1 of the L^p theory, including the celebrated results of Wente and of Coifman-Lions-Meyer-Semmes.
Author : Ya-Zhe Chen
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 20,60 MB
Release : 1998
Category : Mathematics
ISBN : 0821819240
There are two parts to the book. In the first part, a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations is presented. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists.