INVESTIGADORES
SALORT Ariel Martin
artículos
Título:
Eigenvalue homogenisation problem with indefinite weights
Autor/es:
JULIÁN FERNÁNDEZ BONDER; JUAN PABLO PINASCO; ARIEL M. SALORT
Revista:
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
Editorial:
AUSTRALIAN MATHEMATICS PUBL ASSOC INC
Referencias:
Año: 2016
ISSN:
0004-9727
Resumen:
In this work we study the homogenization problem for nonlinear elliptic equations involving p−Laplacian type operators with sign changing weights. We study the asymptotic behavior of variational eigenvalues, which consist on a double sequence of eigenvalues. We show that the k−th positive eigenvalue goes to infinity when the average of the weight is nonpositive, and converge to the k−th variational eigenvalue of the limit problem when the average is positive for any k ≥ 1
