Work

Comparison principles for degenerate sub-elliptic equations in non-divergence form

Year: 2024

Type: preprint

Abstract: We prove the comparison principle for viscosity sub/super-solutions of degenerate subelliptic equations in non-divergence form that include the sub-elliptic infinity Laplacian and the normalized p-Laplacian. The equations are defined by a collection of vector fields satisfying Hörmander's rank condition and are left invariant with respect to a nilpotent Lie Group.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2409.15144

Authors: Manfredi, Juan J., Mukherjee, Shirsho

Institution: University of Essex

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: University of Pittsburgh, European Commission, Engineering and Physical Sciences Research Council

Awards: Geometric and Harmonic Analysis with Interdisciplinary Applications, G434337789, Stability of Brunn-Minkowski inequalities and Minkowski type problems for nonlinear capacity

OpenAlex ID: W4403781017

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