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Removable singularities of solutions of elliptic equations. II

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References

  1. Bers, L., Isolated singularities of minimal surfaces. Ann. Math. 53, 364–386 (1951).

    Google Scholar 

  2. De Giorgi, E., & G. Stampacchia, Sulle singolarità eliminabili delle ipersuperficie minimali. (To appear.)

  3. Finn, R., Isolated singularities of solutions of nonlinear partial differential equations. Trans. Amer. Math. Soc. 75, 385–404 (1953).

    Google Scholar 

  4. Finn, R., On partial differential equations (whose solutions admit no isolated singularities). Scripta Math. 26, 107–115 (1961).

    Google Scholar 

  5. Jenkins, H., Super-solutions for quasi-linear elliptic equations. Arch. Rational Mechanics and Analysis 16, 402–410 (1963).

    Google Scholar 

  6. Jenkins, H., On the behavior of solutions of quasi-linear elliptic equations. (To appear Trans. Amer. Math. Soc.)

  7. Morrey, C. B., Jr., Multiple integral problems in the calculus of variations and related topics. Ann. Scuola Norm. Sup. Pisa 14, 1–62 (1960).

    Google Scholar 

  8. Nitsche, J. C. C., Über ein verallgemeinertes Dirichletsches Problem für die Minimal flächengleichungen und hebbare Unstetigkeiten ihrer Lösungen. Math. Ann. 158, 203–214 (1965).

    Google Scholar 

  9. Serrin, J., Local behavior of solutions of quasi-linear equations. Acta Mathematica 111, 247–302 (1964).

    Google Scholar 

  10. Serrin, J., Removable singularities of solutions of elliptic equations. Arch. Rational Mechanics and Analysis 17, 67–76 (1964).

    Google Scholar 

  11. Wallin, H., A connection between α-capacity and L p-classes of differentiable functions. Ark. Mat. 5, 331–341 (1964).

    Google Scholar 

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Authors and Affiliations

  1. School of Mathematics, Institute of Technology, University of Minnesota, Minneapolis

    James Serrin

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  1. James Serrin
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I wish finally to thank Professor Johannes C. C. Nitsche for several very stimulating conversations in regard to the contents of this paper.

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Serrin, J. Removable singularities of solutions of elliptic equations. II. Arch. Rational Mech. Anal. 20, 163–169 (1965). https://doi.org/10.1007/BF00276442

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  • DOI: https://doi.org/10.1007/BF00276442

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