Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case
Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case
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DOI：
10.1007/s00229-007-0100-8
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发表时间：
2007-06
影响因子：
0.6
通讯作者：
Lisa Beck
中科院分区：
文献类型：
--
作者：
Lisa Beck
考虑二阶散度型非线性椭圆组在次二次增长条件下的弱解。通过-调和逼近的方法，我们给出了正则点到边界的一个刻画，推广了二次和超二次情形的已知结果。证明直接给出了正则集上的最优高正则性。
We consider weak solutions of second order nonlinear elliptic systems of divergence type under subquadratic growth conditions. Via the method of-harmonic approximation we give a characterization of regular points up to the boundary which extends known results from the quadratic and superquadratic case. The proof yields directly the optimal higher regularity on the regular set.