Three Solutions Theorem for p -Laplacian Problems with a Singular Weight and Its Application

Abstract EN

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 anexterior domain.