An inequality for eigenvalues of quasilinear problems with monotonic weights

In this work we extend an inequality of Nehari to the eigenvalues of weighted quasilinear problems involving the p-Laplacian when the weight is a monotonic function. We apply it to different eigenvalue problems. © 2010 Elsevier Ltd. All rights reserved.

Detalles Bibliográficos
Autores: Castro, M.J., Pinasco, J.P.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:Argentina
Institución:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
Repositorio:Biblioteca Digital (UBA-FCEN)
Idioma:inglés
OAI Identifier:paperaa:paper_08939659_v23_n11_p1355_Castro
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_08939659_v23_n11_p1355_Castro
Access Level:acceso abierto
Palabra clave:Inequalities
Lower bound of eigenvalues
p-Laplacian
Eigenvalue problem
Eigenvalues
Lower bounds
Monotonic functions
P-Laplacian
Quasilinear problems
Laplace transforms
Eigenvalues and eigenfunctions
Descripción
Sumario:In this work we extend an inequality of Nehari to the eigenvalues of weighted quasilinear problems involving the p-Laplacian when the weight is a monotonic function. We apply it to different eigenvalue problems. © 2010 Elsevier Ltd. All rights reserved.