Open Access

Positive solutions of second-order singular boundary value problem with a Laplace-like operator

Journal of Inequalities and Applications20052005:862134

DOI: 10.1155/JIA.2005.289

Received: 18 July 2003

Published: 11 July 2005

Abstract

By use of the concavity of solution for an associate boundary value problem, existence criteria of positive solutions are given for the Dirichlet BVP https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.289/MediaObjects/13660_2003_Article_1556_IEq1_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.289/MediaObjects/13660_2003_Article_1556_IEq2_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.289/MediaObjects/13660_2003_Article_1556_IEq3_HTML.gif , where https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.289/MediaObjects/13660_2003_Article_1556_IEq4_HTML.gif is odd and continuous with https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.289/MediaObjects/13660_2003_Article_1556_IEq5_HTML.gif , https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.289/MediaObjects/13660_2003_Article_1556_IEq6_HTML.gif , and https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.289/MediaObjects/13660_2003_Article_1556_IEq7_HTML.gif may change sign and be singular along a curve in https://static-content.springer.com/image/art%3A10.1155%2FJIA.2005.289/MediaObjects/13660_2003_Article_1556_IEq8_HTML.gif .

Authors’ Affiliations

(1)
Institute of Systems Science, Chinese Academy of Sciences
(2)
Department of Mathematics, Zhengzhou University
(3)
Department of Mathematics, Beijing Institute of Technology

Copyright

© Ren and Ge 2005