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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Existence of solutions for semilinear elliptic problems without (PS) condition
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by Jianfu Yang
Proc. Amer. Math. Soc. 132 (2004), 1355-1366
DOI: https://doi.org/10.1090/S0002-9939-03-07088-6
Published electronically: December 12, 2003

Abstract:

We establish an existence result for semilinear elliptic problems with the associated functional not satisfying the Palais-Smale condition. The nonlinearity of our problem does not satisfy the Ambrosetti-Rabinowitz condition.
References
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Bibliographic Information
  • Jianfu Yang
  • Affiliation: Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, P.O. Box 71010, Wuhan 430071, Peoples Republic of China
  • Email: jfyang@wipm.ac.cn
  • Received by editor(s): May 4, 2002
  • Received by editor(s) in revised form: September 18, 2002
  • Published electronically: December 12, 2003
  • Communicated by: David S. Tartakoff
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1355-1366
  • MSC (2000): Primary 35J20, 35J25, 35J60
  • DOI: https://doi.org/10.1090/S0002-9939-03-07088-6
  • MathSciNet review: 2053340