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Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights

Boundary Value Problems20092009:584203

Received: 5 December 2008

Accepted: 11 March 2009

Published: 17 March 2009


We study existence and multiplicity of positive solutions for the following Dirichlet equations: in , on , where is a bounded domain with smooth boundary , , , , , and are continuous functions on which are somewhere positive but which may change sign on .


Differential EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationElliptic Equation

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Authors’ Affiliations

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


© T.-S. Hsu and H.-L. Lin. 2009

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.