Skip to main content
SpringerLink
Log in

Some isoperimetric inequalities for the level curves of capacity and Green’s functions on convex plane domains

  • Conference paper
  • First Online:
Calculus of Variations and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1340))

  • 963 Accesses

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

Access this chapter

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Acker, A free boundary optimisation problem, SIAM J. Math. Anal. 9 (1978), 1179–1191.

    Article  MathSciNet  MATH  Google Scholar 

  2. C. Bandle, Isoperimetric Inequalities and their applications, Pitman, London 1980.

    MATH  Google Scholar 

  3. T. Bonnesen and W. Fenchel, Theorie der Konvexen Korper, Springer, Berlin 1934.

    Book  MATH  Google Scholar 

  4. L.A. Caffarelli and A. Friedman, Convexity of solutions of semilinear elliptic equations, Duke M. Jour. 52 (1985), 431–456.

    Article  MathSciNet  MATH  Google Scholar 

  5. L.A. Caffarelli and J. Spruck, Convexity properties of solutions of some classic variational problems, Comm. in P.D.E. 7 (1982), 1337–1379.

    Article  MathSciNet  MATH  Google Scholar 

  6. P. Laurence and E. Stredulinsky, A new approach to Queer Differential Equations, Communications on Pure and Applied Mathematics 38 (1985), 333–355.

    Article  MathSciNet  MATH  Google Scholar 

  7. J. Lewis, Capacitary functions in convex rings, Arch. Rational Mech. Anal. 66, 3 (1977), 201–224.

    Article  MathSciNet  MATH  Google Scholar 

  8. M.H. Protter and H.F. Weinberger, Maximum Principles in Differential Equations, Prentice-Hall, Inc., Englewood Cliff, N.J. 1967.

    MATH  Google Scholar 

  9. D.E. Tepper, Free boundary optimisation problem, SIAM J. Math. Anal. 5 (1974), 841–846.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di Analisi Globale e Applicazioni, Via S. Marta, 13/A, 50139, Firenze, Italy

    Marco Longinetti

Authors
  1. Marco Longinetti
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Stefan Hildebrandt David Kinderlehrer Mario Miranda

Additional information

Dedicated to Hans Lewy

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Longinetti, M. (1988). Some isoperimetric inequalities for the level curves of capacity and Green’s functions on convex plane domains. In: Hildebrandt, S., Kinderlehrer, D., Miranda, M. (eds) Calculus of Variations and Partial Differential Equations. Lecture Notes in Mathematics, vol 1340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082895

Download citation

  • DOI: https://doi.org/10.1007/BFb0082895

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50119-0

  • Online ISBN: 978-3-540-45932-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation