Multiple integrals in the calculus of variations
著者
書誌事項
Multiple integrals in the calculus of variations
（Classics in mathematics）
Springer, c2008
- : pbk
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注記
"Reprint of the 1966 edition"
Original issued in series: Grundlehren der mathematischen Wissenschaft ; v. 130
Bibliography: p. [494]-503
Includes index
内容説明・目次
内容説明
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 fur 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 Mathematiques Pures et Appliquees
目次
- Semi-classical results.- The spaces Hmp and Hmp0.- Existence theorems.- Differentiability of weak solutions.- Regularity theorems for the solutions of general elliptic systems and boundary value problems.- A variational method in the theory of harmonic integrals.- The -Neumann problem on strongly pseudo-convex manifolds.- to parametric Integrals
- two dimensional problems.- The higher dimensional plateau problems.
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