Weighted eigenvalue problems for quasilinear elliptic operators with mixed Robin-Dirichlet boundary conditions. (English) Zbl 1302.35287
Summary: We investigate the existence of principal eigenvalues for problems with weights for the quasilinear operator \(-\Delta_p+V\psi_p\) with mixed weighted Robin-Dirichlet boundary conditions in a bounded regular domain. We also give some results on the existence of nonprincipal eigenvalues.
MSC:
| 35P30 | Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs |
| 35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |
Keywords:
\(p\)-Laplacian; principal eigenvalues; indefinite weights; indefinite potential; Robin-Dirichlet boundary conditionsReferences:
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