Nikolaos E. Sidiropoulos
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
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