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

Juan J. Manfredi; Shirsho Mukherjee

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arXiv · 2409.15144

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

Juan J. Manfredi·Shirsho Mukherjee

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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 H\"ormander's rank condition and are left invariant with respect to a nilpotent Lie Group.

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Juan J. Manfredi, Shirsho Mukherjee. 2024-09-23. Comparison principles for degenerate sub-elliptic equations in non-divergence form. https://arxiv.org/abs/2409.15144

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