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

Analysis of PDEs 2024-09-24 v1

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.

Keywords

Cite

@article{arxiv.2409.15144,
  title  = {Comparison principles for degenerate sub-elliptic equations in non-divergence form},
  author = {Juan J. Manfredi and Shirsho Mukherjee},
  journal= {arXiv preprint arXiv:2409.15144},
  year   = {2024}
}

Comments

21 pages

R2 v1 2026-06-28T18:53:54.415Z