Guido Sweers
Abstract:
It is known that the first eigenfunction of the clamped plate equation,
in
with
on
,
is not necessarily of fixed sign. In this
article, we survey the relations between domains
and the
sign of that first eigenfunction.
Published January 8, 2001.
Math Subject Classifications: 35J30, 35P99.
Key Words: clamped plate, first eigenfunction, maximum
principle, biharmonic.
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Guido Sweers Applied Mathematical Analysis, ITS Faculty Delft University of Technology Mekelweg 4, 2628 CD Delft, The Netherlands e-mail: sweers@twi.tudelft.nl |
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