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  • Research Article
  • Open Access

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

Boundary Value Problems20092009:584203

https://doi.org/10.1155/2009/584203

  • Received: 5 December 2008
  • Accepted: 11 March 2009
  • Published:

Abstract

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 .

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Elliptic Equation

Publisher note

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Authors’ Affiliations

(1)
Center for General Education, Chang Gung University, Kwei-Shan, Tao-Yuan, 333, Taiwan

Copyright

© 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.

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