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 :
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