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A new proof of a regularity theorem

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References

  1. Caffarelli, L.: Regularity theorems for weak solutions of some nonlinear systems, Preprint

  2. De Giorgi, E.: Sulla differenziabilità et l'analiticità delle estremali degli integrali multipli regolari. Memorie delle Acc. Sci. Torino (Ser. 3)3, 25–43 (1957)

    Google Scholar 

  3. Giaquinta, M., Hildebrandt, S.: Estimation à priori des solutions faibles de certains systèmes non linéaires elliptiques. Séminaire Goulaouic-Meyer-Schwartz (1980–81)

  4. Hildebrandt, S., Widman, K.: Some regularity results for quasilinear elliptic systems of second order. Math. Z.142, 67–86 (1975)

    Google Scholar 

  5. Hildebrandt, S., Widman, K.: On the Hölder continuity of weak solutions of quasilinear elliptic systems of second orden. Annali di S.N.S. Pisa4, 145–178 (1977)

    Google Scholar 

  6. Ladyzhenskaya, O., Uraltseva, N.: Linear and quasilinear elliptic equations. New York: Academic Press 1968

    Google Scholar 

  7. Moser, J.: On Harnack's theorem for elliptic differential equations. Comm. Pure Appl. Math.14, 577–591 (1961)

    Google Scholar 

  8. Struwe, M.: A counterexample in elliptic regularity theory. Man. Math.34, 85–92 (1981)

    Google Scholar 

  9. Tolksdorf, P.: Regularity for a more general class of quasilinear elliptic equations. Journal of Differential Equations, to appear

  10. v. Wahl, W., Wiegner, M.: Über die Hölderstetigkeit schwacher Lösungen semilinearer elliptischer Systeme mit einseitiger Bedingung. Man. Math.19, 385–399 (1976)

    Google Scholar 

  11. Wiegner, M.: Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme. Math. Z.147, 21–28 (1976)

    Google Scholar 

  12. Wiegner, M.: A-priori Schranken für Lösungen gewisser elliptischer Systeme. Man. Math.18, 279–297 (1976)

    Google Scholar 

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Authors and Affiliations

  1. Abteilung Angewandte Analysis, Universität Bonn, Beringstr. 6, 53, Bonn 1, Federal republic of Germany

    Peter Tolksdorf

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  1. Peter Tolksdorf
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This research was supported by the Sonderforschungsbereich 72 of the Deutsche Forschungsgemeinschaft

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Tolksdorf, P. A new proof of a regularity theorem. Invent Math 71, 43–49 (1983). https://doi.org/10.1007/BF01393338

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  • DOI: https://doi.org/10.1007/BF01393338

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