Generalized Prüfer Angle and Variational Methods for p-Laplacian Eigenvalue Problems on the Half-Line

Abstract

AbstractThe nonlinear eigenvalue problemfor 0 ≤ x < ∞, fixed p ∈ (1, ∞), and with y′(0)/y(0) specified, is studied under conditions on q related to those of Brinck and Molanov. Topics include Sturmian results, connections between problems on finite intervals and the half-line, and variational principles.