Publication details
Weakly Increasing Solutions of Equations with p-Mean Curvature Operator
| Authors | |
|---|---|
| Year of publication | 2024 |
| Type | Peer-reviewed scientific article |
| Magazine / Source | Mathematics |
| MU Faculty or unit | |
| Citation | |
| web | https://www.mdpi.com/2227-7390/12/20/3240 |
| Doi | https://doi.org/10.3390/math12203240 |
| Keywords | nonlinear differential equation; Euclidean curvature operator; p-Laplacian operator; principal solution; unbounded solution |
| Description | 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. |