Skip to main content
SpringerLink
Log in

Über die Beschränktheit der zweiten Ableitungen der Lösungen nichtlinearer elliptischer Differentialgleichungen

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literatur

  1. Gilbarg, D., Trudinger, N.S.: Elliptic partial differential equations of second order. Berlin-Heidelberg-New York: Springer 1977

    Google Scholar 

  2. Ivanov, A. V.: A priori estimates for solutions of nonlinear second-order elliptic equations. J. Soviet Math.10, 217–240 (1978)

    Google Scholar 

  3. Ladyzhenskaya, O.A., Ural'tseva, N.N.: Linear and quasilinear elliptic equations. New York-London: Academic Press 1968

    Google Scholar 

  4. Meyers, N.G.: On a class of nonuniformly elliptic quasi-linear equations in the plane. Arch. Rational Mech. Anal.12, 367–391 (1963)

    Google Scholar 

  5. Moser, J.: A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations. Comm. Pure Appl. Math.13, 457–468 (1960)

    Google Scholar 

  6. Oskolkov, A.P.: Some estimates for nonuniformly elliptic equations and systems. Proc. Steklov Inst. Math.92, 233–267 (1966)

    Google Scholar 

  7. Oskolkov, A.P.: Interior estimates for the first order derivatives for a class of quasilinear elliptic systems. Proc. Steklov Inst. Math.110, 116–122 (1970)

    Google Scholar 

  8. Serrin, J.: Local behavior of solutions of quasi-linear equations. Acta Math.111, 247–302 (1964)

    Google Scholar 

  9. Stampacchia, G.: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus. Ann. Inst. Fourier (Grenoble)15, 189–258 (1965)

    Google Scholar 

  10. Stampacchia, G.: Équations elliptiques du second ordre à coefficients discontinus. Montreal: Les Presses de l'Université de Montréal 1966

    Google Scholar 

  11. Wahl, W. v.: Einige neue innere Abschätzungen für nichtlineare elliptische Gleichungen und Systeme. Math. Z.134, 119–128 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, Bunsenstraße 3/5, D-3400, Göttingen, Bundesrepublik Deutschland

    Friedmar Schulz

Authors
  1. Friedmar Schulz
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schulz, F. Über die Beschränktheit der zweiten Ableitungen der Lösungen nichtlinearer elliptischer Differentialgleichungen. Math Z 175, 181–188 (1980). https://doi.org/10.1007/BF01674448

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01674448

Search

Navigation