Extremal solutions for difference equations with the Minkowski mean curvature operator
Abstract
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.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Nonlinear Partial Differential Equations
Optimization and Variational Analysis
Publication details
- Journal / source
- The Journal of Difference Equations and Applications
- Publisher
- Informa UK Limited
- Volume
- 32
- Issue
- 6
- Pages
- 835–857
- Publication date
- 3 March 2026
- Language
- EN