一类非线性椭圆方程组弱解的处处正则性

Everywhere Regularity For Weak Solutions of a Class of Nonlinear Elliptic Systems

本文考虑了一类特殊的二阶非线性椭圆方程组,在可控和自然增长条件下,证明了其弱解是处处Holder连续的。但不是二次增长的。

We prove that under controllable of natural, but not quadratic, growth condition, any weak solution of a class of nonlinear elliptic systems in fact belongs to C? for some u>0.