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On Lyapunov-type inequalities for [Formula: see text] -Laplacian systems

We establish Lyapunov-type inequalities for a system involving one-dimensional [Formula: see text] -Laplacian operators ([Formula: see text] ). Next, the obtained inequalities are used to derive some geometric properties of the generalized spectrum associated to the considered problem.

Detalles Bibliográficos
Autores principales: Jleli, Mohamed, Samet, Bessem
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5418342/
https://www.ncbi.nlm.nih.gov/pubmed/28539750
http://dx.doi.org/10.1186/s13660-017-1377-0
Descripción
Sumario:We establish Lyapunov-type inequalities for a system involving one-dimensional [Formula: see text] -Laplacian operators ([Formula: see text] ). Next, the obtained inequalities are used to derive some geometric properties of the generalized spectrum associated to the considered problem.