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Boundedness of the first eigenvalue of the  -Laplacian
Author(s):
Ana-Maria
Matei
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2183-2192.
MSC (2000):
Primary 58C40;
Secondary 58J50
Posted:
February 15, 2005
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Additional information
Abstract:
We prove that for any  , any compact manifold of three or more dimensions carries Riemannian metrics of volume one with the first eigenvalue of the  -Laplacian arbitrarily large.
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Additional Information:
Ana-Maria
Matei
Affiliation:
Department of Mathematics and Computer Science, Loyola University New Orleans, 6363 St. Charles Avenue, New Orleans, Louisiana 70118
Email:
amatei@loyno.edu
DOI:
10.1090/S0002-9939-05-07802-0
PII:
S 0002-9939(05)07802-0
Keywords:
$p$-Laplacian,
eigenvalue
Received by editor(s):
March 21, 2004
Received by editor(s) in revised form:
April 8, 2004
Posted:
February 15, 2005
Communicated by:
Jozef Dodziuk
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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