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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On Poincaré Type Inequalities
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by Roger Chen and Peter Li PDF
Trans. Amer. Math. Soc. 349 (1997), 1561-1585 Request permission

Abstract:

Using estimates of the heat kernel we prove a Poincaré inequality for star-shape domains on a complete manifold. The method also gives a lower bound for the gap of the first two Neumann eigenvalues of a Schrödinger operator.
References
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Additional Information
  • Roger Chen
  • Affiliation: Department of Mathematics, National Cheng Kung University, Tainan, Taiwan
  • Email: rchen@mail.ncku.edu.tw
  • Peter Li
  • Affiliation: Department of Mathematics, University of California, Irvine, California 92717-3875
  • Email: pli@math.uci.edu
  • Received by editor(s): October 12, 1995
  • Additional Notes: The second author’s research was partially supported by NSF grant DMS-9300422
  • © Copyright 1997 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 349 (1997), 1561-1585
  • MSC (1991): Primary 35P15, 58G11, 58G25
  • DOI: https://doi.org/10.1090/S0002-9947-97-01813-8
  • MathSciNet review: 1401517