Eigencurves of non-definite Sturm–Liouville problems for the p-Laplacian

The (λ,μ)(λ,μ) eigencurves are studied for a weighted quasi-linear Sturm–Liouville-type problem of the form−Δpy=(p−1)(λr−q−μs)sgny|y|p−1,on (0,1) with Sturmian-type boundary conditions (ΔpΔp being the p  -Laplacian). Topics include Hölder classes Ck,αCk,α and asymptotics (including existence of oblique asymptotes). An example illustrates precision of our Hölder exponents when p>2p>2.