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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Boundedness of the first eigenvalue of the $p$-Laplacian


Author: Ana-Maria Matei
Journal: Proc. Amer. Math. Soc. 133 (2005), 2183-2192
MSC (2000): Primary 58C40; Secondary 58J50
Published electronically: February 15, 2005
MathSciNet review: 2137886
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Abstract: We prove that for any $p>1$, any compact manifold of three or more dimensions carries Riemannian metrics of volume one with the first eigenvalue of the $p$-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: http://dx.doi.org/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
Published electronically: February 15, 2005
Communicated by: Jozef Dodziuk
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.