Skip to main content
SpringerLink
Log in
Book cover

Variational Methods pp 273–282Cite as

Birkhäuser

A Remark on Minimal Surfaces with Corners

  • Chapter

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 4))

Abstract

Here, I want to report on joint work with Leon Simon [GS].

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. W.K. Allard, On the first variation of a varifold, Ann. Math. 95 (1972), 417–491.

    Article  Google Scholar 

  2. W.K. Allard, On the first variation of a varifold: boundary behavior, Ann. Math. 101 (1975), 418–446.

    Article  Google Scholar 

  3. G. Dziuk, Über quasilineare elliptische Systeme mit isothermen Parametern an Ecken der Randkurve,Analysis 1 (1981), 63–81. [F11] H. Federer, Geometric Measure Theory,Springer, 1969.

    Google Scholar 

  4. M. Grüter and J. Jost, Allard type regularity results for varifolds with free boundaries, Ann. Sc. Norm. Sup. Pisa (4) 13 (1986), 129–169.

    MATH  Google Scholar 

  5. M. Grüter, The monotonicity formula in geometric measure theory, and an application to a partially free boundary problem, in: Partial Differential Equations and Calculus of Variations. Eds. S. Hildebrandt, R. Leis; Lect. Notes in Math. 1357, Springer, 1988.

    Google Scholar 

  6. M. Grüter, Regularität von minimierenden Strömen bei einer freien Randbedingung, Habilitationsschrift, Düsseldorf, 1985.

    Google Scholar 

  7. M. Grüter, Optimal regularity for codimension one minimal surfaces with a free boundary, Man. Math. 58 (1987), 295–343.

    Google Scholar 

  8. M. Grüter, Regularity results for minimizing currents with a free boundary, J. Reine Angew. Math. 375/376 (1987), 307–325.

    Google Scholar 

  9. M. Grüter and L. Simon, Regularity of minimal surfaces near corners,in preparation.

    Google Scholar 

  10. R. Hardt, and L. Simon, Boundary regularity and embedded solutions for the oriented Plateau problem, Ann. Math. 110 (1979), 439–486.

    Article  MathSciNet  MATH  Google Scholar 

  11. J. Jost, Continuity of minimal surfaces with piecewise smooth free boundaries, Math. Ann. 276 (1987), 599–614.

    Article  MathSciNet  Google Scholar 

  12. J.C.C. Nitsche, Vorlesungen über Minimalflächen, Springer, 1975.

    Google Scholar 

  13. L. Simon, Lectures on geometric measure theory, Proc. Centre for Mathematical Analysis, Australian National University, Canberra, 3, 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Universität des Saarlandes, D-6600 , Saarbrücken, West Germany

    Michael Grüter

Authors
  1. Michael Grüter
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Mathématiques, Université Pierre et Marie Curie, 75252, Paris Cedex 05, France

    Henri Berestycki

  2. Département de Mathématiques, Bâtiment 425, Université de Paris-Sud, Centre d’Orsay, 91405, Orsay Cedex, France

    Jean-Michel Coron

  3. CEREMADE, Université de Paris IX-Dauphine, 75775, Paris Cedex 16, France

    Ivar Ekeland

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer Science+Business Media New York

About this chapter

Cite this chapter

Grüter, M. (1990). A Remark on Minimal Surfaces with Corners. In: Berestycki, H., Coron, JM., Ekeland, I. (eds) Variational Methods. Progress in Nonlinear Differential Equations and Their Applications, vol 4. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1080-9_18

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-1080-9_18

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-1082-3

  • Online ISBN: 978-1-4757-1080-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation