Pavel Drabek
Abstract:
In this paper we study Dirichlet
boundary-value problems, for the p-Laplacian, of the form
where
is a bounded domain with smooth boundary
,
,
and
is the first eigenvalue of
. We study the
geometry of the energy functional
and show the difference between the case
and the case
.
We also give the characterization of the right hand sides
for
which the Dirichlet problem above is solvable and has multiple solutions.
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Pavel Drabek Centre of Applied Mathematics University of West Bohemia P. O. Box 314, 306 14 Plzen, Czech Republic e-mail: pdrabek@kma.zcu.cz |
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