Boundedness of the first eigenvalue of the $p$-Laplacian
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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.References
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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
- 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
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 2183-2192
- MSC (2000): Primary 58C40; Secondary 58J50
- DOI: https://doi.org/10.1090/S0002-9939-05-07802-0
- MathSciNet review: 2137886