We prove Amann type three solutions theorem for one dimensional p-Laplacian problems with a singular weight function. To prove this theorem, we define a strong upper and lower solutions and compute the Leray-Schauder degree on a newly established weighted solution space. As an application, we consider the combustion model and show the existence of three positive radial solutions on an exterior domain.
"Three Solutions Theorem for -Laplacian Problems with a Singular Weight and Its Application." Abstr. Appl. Anal. 2014 (SI26) 1 - 9, 2014. https://doi.org/10.1155/2014/502756