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Partial Differential Equations and Calculus of Variations

  • Book
  • © 1988

Overview

Editors:
  1. Stefan Hildebrandt
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    You can also search for this editor in PubMed   Google Scholar

  2. Rolf Leis
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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1357)

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About this book

This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.

Keywords

Table of contents (18 chapters)

  1. Front Matter

    Pages N2-VI
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  2. On the existence in the large of solutions to the one-dimensional, isentropic hydrodynamic equations in a bounded domain

    • H. D. Alber
    Pages 1-22

  3. Initial-boundary value and scattering problems in mathematical physics

    • H. D. Alber, R. Leis
    Pages 23-60

  4. On shape optimization of a turbine blade

    • Hans Wilhelm Alt
    Pages 61-95

  5. Free boundary problems for the Navier-Stokes equations

    • Josef Bemelmans
    Pages 96-115

  6. A geometric maximum principle, plateau’s problem for surfaces of prescribed mean curvature, and the two dimensional analogue of the catenary

    • Ulrich Dierkes
    Pages 116-141

  7. Finite Elements for the Beltrami operator on arbitrary surfaces

    • Gerhard Dziuk
    Pages 142-155

  8. Comparison principles in capillarity

    • Robert Finn
    Pages 156-197

  9. Remarks on diagonal elliptic systems

    • Jens Frehse
    Pages 198-210

  10. Quasiconvexity, growth conditions and partial regularity

    • Mariano Giaquinta
    Pages 211-237

  11. The monotonicity formula in geometric measure theory, and an application to a partially free boundary problem

    • Michael Grüter
    Pages 238-255

  12. Isoperimetric problems having continua of solutions

    • Robert Gulliver
    Pages 256-263

  13. Harmonic maps — Analytic theory and geometric significance

    • Jürgen Jost
    Pages 264-296

  14. Asymptotic behavior of solutions of some quasilinear elliptic systems in exterior domains

    • Michael Meier
    Pages 297-316

  15. Decomposition theorems and their application to non-linear electro- and magneto-static boundary value problems

    • A. Milani, R. Picard
    Pages 317-340

  16. Initial boundary value problems in thermoelasticity

    • Reinhard Racke
    Pages 341-358

  17. Applications of variational methods to problems in the geometry of surfaces

    • Michael Struwe
    Pages 359-378

  18. Open problems in the degree theory for disc minimal surfaces spanning a curve in ℝ3

    • A. J. Tromba
    Pages 379-401

  19. On a modified version of the free geodetic boundary-value problem

    • K. J. Witsch
    Pages 402-423

  20. Back Matter

    Pages 425-427
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Bibliographic Information

  • Book Title: Partial Differential Equations and Calculus of Variations

  • Editors: Stefan Hildebrandt, Rolf Leis

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0082859

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-50508-2Published: 09 November 1988

  • eBook ISBN: 978-3-540-46024-4Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 428

  • Topics: Analysis

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