Viscosity Solutions in Martinet Spaces

Thomas Bieske; Frederic Bowen

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arXiv · 2601.19864

Viscosity Solutions in Martinet Spaces

Thomas Bieske·Frederic Bowen

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Abstract

In this paper, we establish the properties of viscosity solutions in Martinet spaces, which lack both the algebraic group law of Carnot groups and the triangular vector fields of Grushin-type spaces. We then prove the uniqueness of viscosity solutions to strictly monotone elliptic PDEs and to the infinite Laplace equation.

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Thomas Bieske, Frederic Bowen. 2026-01-27. Viscosity Solutions in Martinet Spaces. https://arxiv.org/abs/2601.19864

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