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Transactions of the American Mathematical Society

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The Liouville theorem for a quasi-linear elliptic partial differential equation


Authors: S. Elwood Bohn and Lloyd K. Jackson
Journal: Trans. Amer. Math. Soc. 104 (1962), 392-397
MSC: Primary 35.47
DOI: https://doi.org/10.1090/S0002-9947-1962-0139840-6
MathSciNet review: 0139840
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References [Enhancements On Off] (What's this?)

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  • [2] S. N. Bernstein, Über ein geometrische Theorem und seine Anwendung auf die partiellen Differentialgleichungen vom elliptischen Typus, Math. Z. 26 (1927), 551-558. MR 1544873
  • [3] J. B. Serrin, Jr., On the Harnack inequality for linear elliptic equations, J. Analyse Math. 4 (1955-1956), 292-308. MR 0081415 (18:398f)
  • [4] L. Bers and L. Nirenberg, On linear and nonlinear elliptic boundary value problems in the plane, Convegno Internationale sulle Equazioni Derivate Parziali (Trieste, 1954), pp. 141-167, Edizioni Cremonese, Rome, 1955. MR 0076982 (17:974e)
  • [5] E. Hopf, Elementarie Betrachtungen über die Losungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus, Sitzungsberichte Preuss. Akad. Wiss. 19 (1927), 147-152.

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DOI: https://doi.org/10.1090/S0002-9947-1962-0139840-6
Article copyright: © Copyright 1962 American Mathematical Society

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