Article ID Journal Published Year Pages File Type
4617846 Journal of Mathematical Analysis and Applications 2012 15 Pages PDF
Abstract

In this paper, we consider partial regularity for weak solutions of second-order nonlinear sub-elliptic systems in Carnot groups. By the method of A-harmonic approximation, we establish optimal interior partial regularity of weak solutions to systems under natural growth conditions with subquadratic growth in Carnot groups.

Related Topics
Physical Sciences and Engineering Mathematics Analysis