Chen, Shuhong; Tan, Zhong Optimal interior partial regularity for nonlinear elliptic systems. (English) Zbl 1191.35115 Discrete Contin. Dyn. Syst. 27, No. 3, 981-993 (2010). Summary: We consider interior regularity for weak solutions of nonlinear elliptic systems with subquadratic under controllable growth condition. By \(\mathcal {A}\)-harmonic approximation technique, we obtain a general criterion for a weak solution to be regular in the neighborhood of a given point. In particularly, the regular result is optimal. Cited in 9 Documents MSC: 35J47 Second-order elliptic systems 35J60 Nonlinear elliptic equations 35B65 Smoothness and regularity of solutions to PDEs 35D30 Weak solutions to PDEs Keywords:nonlinear elliptic systems; controllable growth condition; \(\mathcal {A}\)-harmonic approximation technique; optimal partial regularity PDFBibTeX XMLCite \textit{S. Chen} and \textit{Z. Tan}, Discrete Contin. Dyn. Syst. 27, No. 3, 981--993 (2010; Zbl 1191.35115) Full Text: DOI