Nikolaos E. Sidiropoulos
Abstract:
We study the indefinite quasilinear elliptic problem
where
is a bounded domain in
,
,
with a sufficiently smooth boundary,
are subcritical exponents,
changes
sign and
a.e. in
.
Our proofs are variational
in character and are based either on the fibering method or the
mountain pass theorem.
Submitted July 7, 2010. Published November 12, 2010.
Math Subject Classifications: 35J60, 35J62, 35J92.
Key Words: Indefinite quasilinear elliptic problems;
subcritical nonlinearities; p-Laplacian;
p-q-Laplacian; fibering method; mountain pass theorem.
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Nikolaos E. Sidiropoulos Department of Sciences, Technical University of Crete 73100 Chania, Greece email: niksidirop@gmail.com |
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