Weakly Increasing Solutions of Equations with p -Mean Curvature Operator

Zuzana Došlá, Mauro Marini and Serena Matucci ()
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Zuzana Došlá: Department of Mathematics and Statistics, Masaryk University, 611 37 Brno, Czech Republic
Mauro Marini: Department of Mathematics and Computer Science ‘Ulisse Dini’, University of Florence, 50134 Florence, Italy
Serena Matucci: Department of Mathematics and Computer Science ‘Ulisse Dini’, University of Florence, 50134 Florence, Italy

Mathematics, 2024, vol. 12, issue 20, 1-15

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; p -Laplacian operator; principal solution; unbounded solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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