Mathematics
P. Binding, P. Drábek
Abstract
A version of Sturm--Liouville theory is given for the one-dimensional p-Laplacian including the radial case. The treatment is modern but follows the strategy of Elbert's early work. Topics include a Prufer-type transformation, eigenvalue existence, asymptotics and variational principles, and eigenfunction oscillation.
Citation format
BINDING, P.; DRÁBEK, P. Sturm--liouville theory for the p-laplacian. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2003, 40: 373–396.