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Phragmen-Lindelof theorems for some nonlinear elliptic partial differential equations


Author: Joseph J. Roseman
Journal: Bull. Amer. Math. Soc. 79 (1973), 61-63
MSC (1970): Primary 35B05, 35B40, 35B45, 35J30, 35J60; Secondary 73C10, 31B30
MathSciNet review: 0316865
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References [Enhancements On Off] (What's this?)

  • 1. P. D. Lax, A Phragmén-Lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations, Comm. Pure Appl. Math. 10 (1957), 361–389. MR 0093706
  • 2. J. B. Serrin, On the Phragmén-Lindelöf principle for elliptic differential equations, J. Rational Mech. Anal. 3 (1954), 395–413. MR 0062918
  • 3. David Gilbarg, The Phragmén-Lindelöf theorem for elliptic partial differential equations, J. Rational Mech. Anal. 1 (1952), 411–417. MR 0050122
  • 4. R. A. Toupin, Saint-Venant’s principle, Arch. Rational Mech. Anal. 18 (1965), 83–96. MR 0172506
  • 5. James K. Knowles, On Saint-Venant’s principle in the two-dimensional linear theory of elasticity, Arch. Rational Mech. Anal. 21 (1966), 1–22. MR 0187480
  • 6. Joseph J. Roseman, The priniple of Saint-Venant in linear and non-linear plane elasticity, Arch. Rational Mech. Anal. 26 (1967), 142–162. MR 0216801

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DOI: http://dx.doi.org/10.1090/S0002-9904-1973-13091-5