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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Resonance and quasilinear ellipticity
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by Victor L. Shapiro
Trans. Amer. Math. Soc. 294 (1986), 567-584
DOI: https://doi.org/10.1090/S0002-9947-1986-0825722-7

Abstract:

Two resonance-type existence theorems for periodic solutions of second order quasilinear elliptic partial differential equations are established. The first theorem is a best possible result, and the second theorem presents conditions which are both necessary and sufficient.
References
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Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 294 (1986), 567-584
  • MSC: Primary 35J60; Secondary 35B10
  • DOI: https://doi.org/10.1090/S0002-9947-1986-0825722-7
  • MathSciNet review: 825722