Journal of Inequalities and Applications 
Volume 5 (2000), Issue 6, Pages 621-637
doi:10.1155/S1025583400000345

Singular and nonsingular boundary value problems with sign changing nonlinearities

R. Kannan1 and Donal O’regan2

 1Department of Mathematics, The University of Texas, Arlington 76019, TX, USA
2Department of Mathematics, National University of Ireland, Galway, Ireland
Received 10 July 1999; Revised 10 September 1999

Abstract

This paper presents existence results for singular boundary value problems where the nonlinearity is allowed to change sign. Our theory is then applied to an example which arises naturally in the theory of shallow membrane caps.