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Sobolev Spaces

  • Vladimir G. Maz’ja

Part of the Springer Series in Soviet Mathematics book series (SSSOV)

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Vladimir G. Maz’ja
    Pages 1-5
  3. Vladimir G. Maz’ja
    Pages 6-87
  4. Vladimir G. Maz’ja
    Pages 160-190
  5. Vladimir G. Maz’ja
    Pages 191-269
  6. Vladimir G. Maz’ja
    Pages 296-341
  7. Vladimir G. Maz’ja
    Pages 342-359
  8. Vladimir G. Maz’ja
    Pages 390-401
  9. Vladimir G. Maz’ja
    Pages 402-423
  10. Vladimir G. Maz’ja
    Pages 424-452
  11. Vladimir G. Maz’ja
    Pages 453-468
  12. Back Matter
    Pages 469-488

About this book

Introduction

The Sobolev spaces, i. e. the classes of functions with derivatives in L , occupy p an outstanding place in analysis. During the last two decades a substantial contribution to the study of these spaces has been made; so now solutions to many important problems connected with them are known. In the present monograph we consider various aspects of Sobolev space theory. Attention is paid mainly to the so called imbedding theorems. Such theorems, originally established by S. L. Sobolev in the 1930s, proved to be a useful tool in functional analysis and in the theory of linear and nonlinear par­ tial differential equations. We list some questions considered in this book. 1. What are the requirements on the measure f1, for the inequality q

Keywords

Derivative Sobolev space Spaces differential equation functional analysis measure minimum

Authors and affiliations

  • Vladimir G. Maz’ja
    • 1
  1. 1.Faculty of Mathematics and MechanicsLeningrad UniversityLeningradUSSR

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-09922-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1985
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-09924-7
  • Online ISBN 978-3-662-09922-3
  • Series Print ISSN 0939-1169
  • Buy this book on publisher's site