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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Principal eigenvalues
with indefinite weight functions


Author: Zhiren Jin
Journal: Trans. Amer. Math. Soc. 349 (1997), 1945-1959
MSC (1991): Primary 35J65,, 35J25
MathSciNet review: 1389781
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Abstract: Both existence and non-existence results for principal eigenvalues of an elliptic operator with indefinite weight function have been proved. The existence of a continuous family of principal eigenvalues is demonstrated.


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Additional Information

Zhiren Jin
Affiliation: Department of Mathematics and Statistics, Wichita State University, Wichita, Kansas 67260
Email: zhiren@cs.twsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-97-01797-2
PII: S 0002-9947(97)01797-2
Keywords: Principal eigenvalue, Laplace operator, indefinite weight function, conformal deformation on the unit sphere, maximum principles
Received by editor(s): April 3, 1995
Received by editor(s) in revised form: November 20, 1995
Article copyright: © Copyright 1997 American Mathematical Society