Global Components of Positive Bounded Variation Solutions of a One-Dimensional Indefinite Quasilinear Neumann Problem

Abstract

This paper investigates the topological structure of the set of the positive solutions of the one-dimensional quasilinear indefinite Neumann problem

Keywords

• quasilinear elliptic equation
• prescribed curvature equation
• indefinite problem
• neumann condition
• bounded variation function
• positive solution
• bifurcation
• connected component
• 35j93
• 34b18
• 35b32