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Open Access

Existence and Multiplicity of Positive Solutions to a Class of Quasilinear Elliptic Equations in

Boundary Value Problems20102010:579387

Received: 9 October 2009

Accepted: 12 February 2010

Published: 8 March 2010


We consider the following class of quasilinear elliptic equations , for all , where , , , . We allow the potential to be unbounded below and prove the existence and multiplicity for positive solutions.


Differential EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationFull Article

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Authors’ Affiliations

Center for General Education, Chang Gung University, Kwei-Shan, Tao-Yuan, Taiwan


© Tsing-San Hsu. 2010

This article is published under license to BioMed Central Ltd. 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.