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

Advances in Nonlinear Analysis

article

Lorenzo D’Ambrosio¹  Enzo Mitidieri² 

[1] Dipartimento di Matematica, Università degli Studi di Bari;Dipartimento di Matematica e Geoscienze, Università degli Studi di Trieste

关键词: Kato inequality;    comparison principles;    uniqueness property;    semilinear inequalities;    Liouville theorems;    Carnot groups;   

DOI  :  10.1515/anona-2017-0164

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY