Nonlinear elliptic inequalities with gradient terms on the Heisenberg group

作者：Bordoni Sara; Filippucci Roberta; Pucci Patrizia^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2015, 121: 262-279.

DOI：10.1016/j.na.2015.02.012

• Nonlinear elliptic inequalities on the Heisenberg group
• Existence
• Nonexistence
• Uniqueness and qualitative properties of entire solutions

In this paper we give sufficient conditions both for existence and for nonexistence of nontrivial nonnegative entire solutions of nonlinear elliptic inequalities with gradient terms on the Heisenberg group. The picture is completed with the presentation of a uniqueness result which is, as far as we know, the first attempt for general equations with gradient terms on the Heisenberg group.

• 出版日期2015-7
• 单位Perugia