INVESTIGADORES
FERNANDEZ BONDER Julian
artículos
Título:
Eigenvalue homogenisation problem with indefinite weights.
Autor/es:
JULIAN FERNANDEZ BONDER; PINASCO, JUAN PABLO; ARIEL 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 nonlinearelliptic equations involving p−Laplacian type operators with sign changingweights. We study the asymptotic behavior of variational eigenvalues, whichconsist on a double sequence of eigenvalues. We show that the k−th positiveeigenvalue goes to infinity when the average of the weight is nonpositive, andconverge to the k−th variational eigenvalue of the limit problem when theaverage is positive for any k ≥ 1.
