Three solutions theorem for \(p\)-Laplacian problems with a singular weight and its application
Summary: 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.
scientific article; zbMATH DE number 7022499