C1-regularity of solutions for p-Laplacian problems

AbstractIn this work, we study C1-regularity of solutions for one-dimensional p-Laplacian problems and systems with a singular weight which may not be in L1. On the basis of the regularity result, we give an example to show the multiplicity of positive (or negative) solutions as well as sign-changing solutions especially when the nonlinear term is p-superlinear