Giovanni Franzina, Pier Domenico Lamberti
We consider the Dirichlet eigenvalue problem
where the unknowns (the eigenfunction) and (the eigenvalue), is an arbitrary domain in with finite measure, , , if and if . We study several existence and uniqueness results as well as some properties of the solutions. Moreover, we indicate how to extend to the general case some proofs known in the classical case .
Submitted January 14, 2010. Published February 16, 2010.
Math Subject Classifications: 35P30.
Key Words: p-laplacian; eigenvalues; existence; uniqueness results
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| Giovanni Franzina |
Dipartimento di Matematica, University of Trento
| Pier Domenico Lamberti |
Dipartimento di Matematica Pura e Applicata
University of Padova, Padova, Italy
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