Weakly Increasing Solutions of Equations with <i>p</i>-Mean Curvature Operator

Abstract

Globally positive unbounded solutions, with zero derivative at infinity, are here considered for ordinary differential equations involving the generalized Euclidean mean curvature operator. When p≥2, the results highlight an analogy with an auxiliary equation with the p-Laplacian operator. The results are obtained using some comparison criteria for the principal solutions of a class of associated half-linear equations.

Keywords

• nonlinear differential equation
• Euclidean curvature operator
• <i>p</i>-Laplacian operator
• principal solution
• unbounded solution