Document Type
Article
Publication Date
2-2023
Abstract
In this paper we study the asymptotic behavior of solutions to the subelliptic p-Poisson equation as p → +∞ in Carnot Carathéodory spaces. In particular, introducing a suitable notion of differentiability, we extend the celebrated result of Bhattacharya, DiBenedetto and Manfredi [BDM] and we prove that limits of such solutions solve in the sense of viscosity a hybrid first and second order PDE involving the ∞−Laplacian and the Eikonal equation.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Rights
Licensed to Smith College and distributed CC-BY 4.0 under the Smith College Faculty Open Access Policy
Recommended Citation
Capogna, Luca; Giovannardi, Gianmarco; Pinamonti, Andrea; and Verzellesi, Simone, "The Asymptotic p-Poisson Equation as p →∞ in Carnot-Carathéodory Spaces" (2023). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/177
Comments
Author’s submitted manuscript