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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Bounds for the solutions of a class of nonlinear partial differential equations
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by Zeev Nehari PDF
Proc. Amer. Math. Soc. 14 (1963), 829-836 Request permission
References
  • E. K. Haviland, A note on unrestricted solutions of the differential equation $\Delta u=f(u)$, J. London Math. Soc. 26 (1951), 210–214. MR 41299, DOI 10.1112/jlms/s1-26.3.210
  • E. Hopf, On non-linear partial differential equations, Berkeley Symposium on Partial Differential Equations (Lecture Series), University of Kansas, 1957, pp. 1-31.
  • J. B. Keller, On solutions of $\Delta u=f(u)$, Comm. Pure Appl. Math. 10 (1957), 503–510. MR 91407, DOI 10.1002/cpa.3160100402
  • Zeev Nehari, On a nonlinear differential equation arising in nuclear physics, Proc. Roy. Irish Acad. Sect. A 62 (1963), 117–135 (1963). MR 165176
  • Robert Osserman, On the inequality $\Delta u\geq f(u)$, Pacific J. Math. 7 (1957), 1641–1647. MR 98239
  • J. L. Synge, On a certain non-linear differential equation, Proc. Roy. Irish Acad. Sect. A 62 (1961/62), 17–41. MR 138893
  • Wolfgang Walter, Über ganze Lösungen der Differentialgleichung $\Delta u=f(u)$, Jber. Deutsch. Math.-Verein. 57 (1955), 94–102 (German). MR 68709
  • H. Wittich, Ganze Lösungen der Differentialgleichung $\Delta u=e^u$, Math. Z. 49 (1944), 579–582 (German). MR 11874, DOI 10.1007/BF01174219
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Additional Information
  • © Copyright 1963 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 14 (1963), 829-836
  • MSC: Primary 35.99
  • DOI: https://doi.org/10.1090/S0002-9939-1963-0152762-6
  • MathSciNet review: 0152762