piecewise regular boundary

Boundary regularity results for viscosity solutions of Poisson s equation and fully nonlinear uniformly elliptic equations under the Dini condition are obtained by use of Caffarelli s perturbation method, which give a simple proof of Theorem 4.

笔者利用Caffarelli扰动方法,证明了Poisson方程和完全非线性一致椭圆型方程在Dini条件下其粘性解的边界正则性,从而给出了文[8]定理4。

The boundary regularity for a class of weakly harmonic maps which maps into sphere and satisfies a quasi monotonicity inequality is discussed.

讨论一类映入球面的满足拟单调不等式的弱调和映射的边界正则性 。

The first part studies the boundary regularity of harmonic maps from hyperbolic space into nonpositively curved Riemannian manifolds.

第一部分研究从双曲空间到非正弯曲的黎曼流形的调和映射的边界正则性。