三角形拟线性椭圆组弱解的处处正则性

Everywhere Regularity of Weak Solutions to Quasilinear Elliptic Systems of Triangular Form

在自然增长条件下,证明了三角形拟线性椭圆组H^1∩L^(n(r-1)/(2-r))弱解的L^P估计和处处正则性。在平方增长条件下,对有界弱解得到相同的结果。

Under natural growth condition, we prove the L^p-estimate and everywhere re-gularity for H^1∩L^(n r-1/(2-r))weak solutions of quasilinear elliptic systems of trian-gular form. Under quadratic growth condition, we obtain the same result forthe bounded weak solutions.