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Liouville theorems for nonlinear elliptic equations and systems

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References

  1. FREHSE, J., Essential selfadjointness of singular elliptic operators. Preprint no. 116 of the SFB 72, Universität Bonn (1977)

  2. HILDEBRANDT, S. and WIDMAN, K.-O., Some regularity results for quasilinear elliptic systems of second order. Math. z., 142, 67–86 (1975)

    Google Scholar 

  3. HILDEBRANDT, S. and WIDMAN, K.-O., On the Hölder continuity of weak solutions of quasilinear elliptic systems of second order. Annali Scuola Norm. Sup. Pisa, IV, 1, 145–178 (1977)

    Google Scholar 

  4. HILDEBRANDT, S. and WIDMAN, K.-O., Sätze vom Liouvilleschen Typ für quasilineare elliptische Gleichungen und Systeme. Nachrichten der Akad. Wiss. Göttingen, to appear

  5. IVANOV, A.V., Local estimates for the first derivatives of solutions of quasilinear second order elliptic equations and their application to Liouville type theorems. Seminar Steklov Inst. Leningrad, 30, 40–50 (1972). Translation in: J. Sov. Math., 4, 335–344 (1975)

    Google Scholar 

  6. MEIER, M., Reguläre und singuläre Lösungen quasilinearer elliptischer Gleichungen und Systeme. Dissertation, Bonn 1978

  7. MORREY, C.B., Jr., Multiple Integrals in the Calculus of Variations. Springer-Verlag, Berlin-Heidelberg-New York (1966)

    Google Scholar 

  8. PELETIER, L.A. and SERRIN, J., Gradient bounds and Liouville theorems for quasilinear elliptic equations. Annali Scuola Norm. Sup. Pisa, IV, 5, 65–104 (1978)

    Google Scholar 

  9. SERRIN, J., Local behavior of solutions of quasilinear equations. Acta Math., 111, 247–302 (1964)

    Google Scholar 

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

    Google Scholar 

  11. TRUDINGER, N.S., On Harnack type inequalities and their application to quasilinear elliptic equations. Comm. Pure Appl. Math., 20, 721–747 (1967)

    Google Scholar 

  12. WIEGNER, M., Über die Regularität schwacher Lösungen gewisser elliptischer Systeme. Manuscripta Math., vol. 15, 365–384 (1975)

    Google Scholar 

  13. WIEGNER, M., Ein optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer Systeme. Math. z., 147, 21–28 (1976)

    Google Scholar 

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This paper has been written under the auspices of the Sonderforschungsbereich 72 at the University of Bonn.

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Meier, M. Liouville theorems for nonlinear elliptic equations and systems. Manuscripta Math 29, 207–228 (1979). https://doi.org/10.1007/BF01303628

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