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Innere Abschätzungen für Nichtlineare Elliptische Gleichungen und Systeme in der Ebene

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Abstract

This paper deals with the improvement of interior estimates given by Nirenberg for linear elliptic equations in the plane and for two-dimensional nonlinear elliptic equations F(x, y, z, p, q, r, s, t)=0.

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Literatur

  1. LADYSHENSKAJA, O. A., and URAL'TSEVA, N. N.: Linear and quasilinear elliptic equations. New York-London: Academic Press 1968.

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  2. NIRENBERG, L.: On Nonlinear Elliptic Partial Differential Equations and Hölder Continuity. Comm. in Pure Appl. Math.6, 103–156 (1953).

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von Wahl, W. Innere Abschätzungen für Nichtlineare Elliptische Gleichungen und Systeme in der Ebene. Manuscripta Math 9, 375–382 (1973). https://doi.org/10.1007/BF01343876

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  • DOI: https://doi.org/10.1007/BF01343876

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