Principal eigenvalues with indefinite weight functions. (English) Zbl 0877.35083
Principle eigenvalues of the eigenvalue problem with indefinite weight for the Laplace operator are considered. Both existence and non-existence are proved as well as existence of a continuous family of principle eigenvalues.
Reviewer: S.Tersian (Russe)
MSC:
| 35P05 | General topics in linear spectral theory for PDEs |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
References:
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