Publication details

Extremal solutions for difference equations with the Minkowski mean curvature operator

Authors

DOŠLÁ Zuzana MARINI Mauro MATUCCI Serena

Year of publication 2026
Type Article in Periodical
Magazine / Source JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
MU Faculty or unit

Faculty of Science

Citation
web https://www.tandfonline.com/doi/full/10.1080/10236198.2026.2637719
Doi https://doi.org/10.1080/10236198.2026.2637719
Keywords Generalized mean curvature operator; positive solution; unbounded solution; decaying solution
Description This paper deals with asymptotic problems involving second-order difference equation with the generalized Minkowski mean curvature operator. Using some inequalities for this operator and an abstract fixed point theorem the existence of extremal solutions is proved, that is solutions which are unbounded together with their quasi-difference and solutions which are vanishing at infinity together with their quasi-difference.

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