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On Poincaré Type Inequalities
Author(s):
Roger
Chen;
Peter
Li
Journal:
Trans. Amer. Math. Soc.
349
(1997),
1561-1585.
MSC (1991):
Primary 35P15, 58G11, 58G25
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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
DOI:
10.1090/S0002-9947-97-01813-8
PII:
S 0002-9947(97)01813-8
Received by editor(s):
October 12, 1995
Additional Notes:
The second author's research was partially supported by NSF grant DMS-9300422
Copyright of article:
Copyright
1997,
American Mathematical Society
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