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Über semilineare elliptische Differentialgleichungen zweiter Ordnung

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Literatur

  1. Agmon, S., A. Douglis, and L. Nirenberg: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I. Commun. Pure Appl. Math.12, 623–727 (1959).

    Google Scholar 

  2. Bernstein, S.: Sur la généralisation du problème de Dirichlet. (Deuxième partie.) Math. Ann.69, 82–136 (1910).

    Google Scholar 

  3. Courant, R., and D. Hilbert: Methods of mathematical physics. Vol. II. New York-London: Interscience 1962.

    Google Scholar 

  4. Heinz, E.: Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung. Math. Ann.127, 258–287 (1954).

    Google Scholar 

  5. —: On certain nonlinear elliptic differential equations and univalent mappings. J. Analyse Math.5, 197–272 (1956/57).

    Google Scholar 

  6. Hirasawa, Y.: On an estimate for semi-linear elliptic differential equations of the second order. Kōdai Math. Sem. Reports16, 55–68 (1964).

    Google Scholar 

  7. —: On an estimate for semi-linear elliptic differential equations of the second order with dini-continuous coefficients. Kōdai Math. Sem. Reports17, 10–26 (1965).

    Google Scholar 

  8. —: On an estimate for a quasi-linear elliptic differential equation. Funkcialaj Ekvacioj9, 181–197 (1966).

    Google Scholar 

  9. Ladyshenskaya, O. A., and N. N. Uraltseva: Linear and quasilinear elliptic equations (Übersetzung aus dem Russischen). New York-London: Academic Press 1968.

    Google Scholar 

  10. Nagumo, M.: On principally linear elliptic differential equations of the second order. Osaka Math. J.6, 207–229 (1954).

    Google Scholar 

  11. Nirenberg, L.: On elliptic partial differential equations. Ann. Scuola Norm. Sup. Pisa, Ser. 3,13, 115–162 (1959).

    Google Scholar 

  12. Schaefer, H.: Über die Methode der a priori Schranken. Math. Ann.129, 415–416 (1955).

    Google Scholar 

  13. Trudinger, N.S.: On the Dirichlet-problem for quasilinear uniformly elliptic equations inn variables. Arch. Rat. Mech. Analysis27, 108–119 (1967/68).

    Google Scholar 

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  1. Mathematisches Institut der Universität, Bunsenstraße 3-5, 3400, Göttingen

    Friedrich Tomi

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  1. Friedrich Tomi
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Tomi, F. Über semilineare elliptische Differentialgleichungen zweiter Ordnung. Math Z 111, 350–366 (1969). https://doi.org/10.1007/BF01110746

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