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Regularity theorems for nondiagonal elliptic systems

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Arkiv för Matematik

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References

  1. Campanato, S., Equazioni ellittiche del II0 ordine e spaziL(2, λ),Ann. Mat. Pura e Appl.69 (1965), 321–381.

    Article  MATH  MathSciNet  Google Scholar 

  2. Giaquinta, M. andNecas, J., On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property,Comment. Math. Univ. Carolinae20 (1979), 111–121.

    MATH  MathSciNet  Google Scholar 

  3. Giaquinta, M. andModica, G., Regularity results for some classes of higher order nonlinear elliptic systems,J. f. Reine und Angew. Math.311 (1979), 145–169.

    MathSciNet  Google Scholar 

  4. Hildebrandt, S. andWidman, K.-O., Sätze vom Liouville'schen Typ für quasilineare elliptische Gleichungen und Systeme,Nachrichten der Akad. Wiss. Göttingen, Nr. 4 (1979), 41–59.

    MathSciNet  Google Scholar 

  5. Ivert, P.-A., On quasilinear elliptic systems of diagonal form,Math. Z.170 (1980), 283–286.

    Article  MATH  MathSciNet  Google Scholar 

  6. Kadlec, J., andNecas, J., Sulla Regularità delle Soluzioni di Equazioni Ellittiche negli SpaziHk, λ,Annali Scuola Norm. Sup. Pisa21 (1967), 527–545.

    MATH  MathSciNet  Google Scholar 

  7. Kawohl, B., On Liouville-theorems, Continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems,Preprint Nr. 515,Technische Hochschule Darmstadt (1979).

  8. Meier, M., Liouville theorems for nonlinear elliptic equations and systems.Manuscripta math.29 (1979), 207–228.

    Article  MATH  MathSciNet  Google Scholar 

  9. Meier, M., Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions,Math. Z.176 (1981), 123–133.

    Article  MATH  MathSciNet  Google Scholar 

  10. Serrin, J., Liouville theorems and gradient bounds for quasilinear elliptic systems,Archive Rat. Mech. Anal.66 (1977), 295–310.

    Article  MATH  MathSciNet  Google Scholar 

  11. Sperner, E., Über eine scharfe Schranke in der Regularitätstheorie elliptischer Systeme,Math. Z.156 (1977), 255–263.

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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  1. Institut für Mathematik der Universität Bayreuth, D-8580, Bayreuth, Federal Republic of Germany

    Michael Wiegner

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  1. Michael Wiegner
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Wiegner, M. Regularity theorems for nondiagonal elliptic systems. Ark. Mat. 20, 1–13 (1982). https://doi.org/10.1007/BF02390495

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