Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case 1
- Resource Type
- article
- Authors
- Shuhong Chen; Zhong Tan
- Source
- Journal of Inequalities and Applications, Vol 2010 (2010)
- Subject
- Mathematics
QA1-939
- Language
- English
- ISSN
- 1025-5834
1029-242X
We consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition. We obtain a general criterion for a weak solution to be regular in the neighborhood of a given point. In particularly the regularity we obtained is optimal.