Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups

Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.

Bibliographic Details
Main Authors: D’Ambrosio Lorenzo, Mitidieri Enzo
Format: Article
Language:English
Published: De Gruyter 2018-08-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2017-0164