*Comparison principle to the infinity Laplacian equation with lower term*

**DOI:**10.54647/mathematics11292 65 Downloads 3064 Views

**Author(s)**

**Abstract**

In this paper, we establish the comparison principles via the perturbation method for the equation in , where is a highly degenerate and h- homogeneous operator associated with the infinity Laplacian. Based on the comparison principle, we obtain the uniqueness of the viscosity solution to the Dirichlet problem

where During this procedure, we also establish a stability result of the viscosity solution to the inhomogeneous equation.

**Keywords**

infinity Laplacian; viscosity solutions; comparison principle; stability.

**Cite this paper**

Cuicui Li, Fang Liu,
Comparison principle to the infinity Laplacian equation with lower term
, *SCIREA Journal of Mathematics*.
Volume 6, Issue 5, October 2021 | PP. 51-62.
10.54647/mathematics11292

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