@Article{AAM-33-2,
author = {Yalin, Qiu},
title = {Partial Regularity Result of Superquadratic Elliptic Systems with Dini Continuous Coefficients},
journal = {Annals of Applied Mathematics},
year = {2017},
volume = {33},
number = {2},
pages = {162--185},
abstract = {<p style="text-align: justify;">We consider the partial regularity for weak solutions to superquadratic
elliptic systems with controllable growth condition, under the assumption of
Dini continuous coefficients. The proof relies upon an iteration scheme of a
decay estimate for a new type of excess functional. To establish the decay
estimate, we use the technique of $\mathcal{A}$-harmonic approximation and obtain a
general criterion for a weak solution to be regular in the neighborhood of a given
point. In particular, the proof yields directly the optimal Hölder exponent for
the derivative of the weak solutions on the regular set.</p>},
issn = {},
doi = {https://doi.org/2017-AAM-20603},
url = {https://global-sci.com/article/72747/partial-regularity-result-of-superquadratic-elliptic-systems-with-dini-continuous-coefficients}
}