Open Access Research Article

On Second-Order Differential Equations with Nonhomogeneous -Laplacian

Mariella Cecchi1, Zuzana Došlá2 and Mauro Marini1*

Author Affiliations

1 Department of Electronics and Telecommunications, University of Florence, Via S. Marta 3, 50139 Firenze, Italy

2 Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 60000 Brno, Czech Republic

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Boundary Value Problems 2010, 2010:875675 doi:10.1155/2010/875675

Published: 31 January 2010

Abstract

Equation with general nonhomogeneous -Laplacian, including classical and singular -Laplacian, is investigated. Necessary and sufficient conditions for the existence of nonoscillatory solutions satisfying certain asymptotic boundary conditions are given and discrepancies between the general and classical are illustrated as well.