Principal eigenvalues for problems with indefinite weight function on
Authors:
K. J. Brown, C. Cosner and J. Fleckinger
Journal:
Proc. Amer. Math. Soc. 109 (1990), 147-155
MSC:
Primary 35P05; Secondary 35J25
DOI:
https://doi.org/10.1090/S0002-9939-1990-1007489-1
MathSciNet review:
1007489
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Abstract | References | Similar Articles | Additional Information
Abstract: We investigate the existence of positive principal eigenvalues of the problem for
as
where the weight function
changes sign on
. It is proved that such eigenvalues exist if
is negative and bounded away from 0 at
or if
and
is sufficiently small at
but do not exist if
and
.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1990-1007489-1
Keywords:
Elliptic boundary value problems,
indefinite weight function,
spectral theory
Article copyright:
© Copyright 1990
American Mathematical Society