
Weakly Increasing Solutions of Equations with p-Mean Curvature Operator
Autoři | |
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Rok publikování | 2024 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Mathematics |
Fakulta / Pracoviště MU | |
Citace | |
www | https://www.mdpi.com/2227-7390/12/20/3240 |
Doi | http://dx.doi.org/10.3390/math12203240 |
Klíčová slova | nonlinear differential equation; Euclidean curvature operator; p-Laplacian operator; principal solution; unbounded solution |
Popis | 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. |