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References
Campanato, S., Equazioni ellittiche del II0 ordine e spaziL(2, λ),Ann. Mat. Pura e Appl.69 (1965), 321–381.
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.
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.
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.
Ivert, P.-A., On quasilinear elliptic systems of diagonal form,Math. Z.170 (1980), 283–286.
Kadlec, J., andNecas, J., Sulla Regularità delle Soluzioni di Equazioni Ellittiche negli SpaziHk, λ,Annali Scuola Norm. Sup. Pisa21 (1967), 527–545.
Kawohl, B., On Liouville-theorems, Continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems,Preprint Nr. 515,Technische Hochschule Darmstadt (1979).
Meier, M., Liouville theorems for nonlinear elliptic equations and systems.Manuscripta math.29 (1979), 207–228.
Meier, M., Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions,Math. Z.176 (1981), 123–133.
Serrin, J., Liouville theorems and gradient bounds for quasilinear elliptic systems,Archive Rat. Mech. Anal.66 (1977), 295–310.
Sperner, E., Über eine scharfe Schranke in der Regularitätstheorie elliptischer Systeme,Math. Z.156 (1977), 255–263.
Wiegner, M.,A-priori Schranken für Lösungen gewisser elliptischer Systeme,Manuscripta math.18 (1976), 279–297.
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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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DOI: https://doi.org/10.1007/BF02390495