Title of article
Interior partial regularity for nonlinear elliptic systems with Dini continuous coefficients for the case:
Author/Authors
Qiu، نويسنده , , Yalin، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
24
From page
885
To page
908
Abstract
In this article, we consider the interior regularity for weak solutions of nonlinear elliptic systems with divergence type and Dini continuous coefficients under subquadratic growth conditions. We adopt another A -harmonic approximation technique and prove the interior partial regularity of weak solutions. The proof yields directly the optimal Hِlder exponent for the derivative of the weak solutions on the regular set.
Keywords
Nonlinear elliptic systems , Dini continuity , Natural growth condition , Controllable growth condition , partial regularity , A -harmonic approximation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562459
Link To Document