Informace o publikaci

Weakly Increasing Solutions of Equations with p-Mean Curvature Operator

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DOŠLÁ Zuzana MARINI Mauro MATUCCI Serena

Rok publikování 2024
Druh Článek v odborném periodiku
Časopis / Zdroj Mathematics
Fakulta / Pracoviště MU

Přírodovědecká fakulta

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.

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