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Journal of Mathematics
Volume 2013, Article ID 593285, 9 pages
Research Article

Exact Multiplicity of Solutions for a Class of Singular Generalized One-Dimensional -Laplacian Problem

Department of Mathematics, Hexi University, Gansu 734000, China

Received 11 November 2012; Accepted 29 May 2013

Academic Editor: Francisco B. Gallego

Copyright © 2013 Youwei Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We describe the existence of positive solutions for a class of singular generalized one-dimensional -Laplacian problem. By applying the related fixed point theory in cone, some new and general results on the existence of positive solutions to the singular generalized -Laplacian problem are obtained. Note that the nonlinear term involves the first-order derivative explicitly.