Weakly Increasing Solutions of Equations with p-Mean Curvature Operator
Copyright policy )Weakly Increasing Solutions of Equations with p-Mean Curvature Operator
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.
principal solution, Euclidean curvature operator, QA1-939, nonlinear differential equation, nonlinear differential equation; Euclidean curvature operator; p-Laplacian operator; principal solution; unbounded solution, unbounded solution, Mathematics, <i>p</i>-Laplacian operator
principal solution, Euclidean curvature operator, QA1-939, nonlinear differential equation, nonlinear differential equation; Euclidean curvature operator; p-Laplacian operator; principal solution; unbounded solution, unbounded solution, Mathematics, <i>p</i>-Laplacian operator
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