Mathematics

P. Binding, P. Drábek

2003.10.1STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA

DOI: 10.1556/sscmath.40.2003.4.1

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.