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Multiple Integrals in the Calculus of Variations

  • Charles B. MorreyJr.

Part of the Grundlehren der mathematischen Wissenschaften book series (volume 130)

About this book

Introduction

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

Keywords

Calculus Calculus of Variations Manifold Sobolev spaces Topology differential equation equation harmonic integrals mathematics multiple Integral theorem variations

Authors and affiliations

  • Charles B. MorreyJr.
    • 1
  1. 1.University of CaliforniaBerkeley

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-69952-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1966
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-69915-6
  • Online ISBN 978-3-540-69952-1
  • Series Print ISSN 0072-7830
  • Buy this book on publisher's site