关于拟线性椭圆型方程在广义Sobolev空间中解的正则性

On the Regularity of Solutions in Generalized Sobolev Space for Dirichlet Problem of Quasilinear Elliptic Equations

本主讨论了下面方程Ｄｉｒｉｃｈｌｅｔ问题在广义Ｓｏｂｏｌｅｖ空间中解的正则性：ｘ∈Ω其中ΩＲｎ是有界区域，证明了上述问题在Ｗ１，ｐ（Ω）和Ｗ１，ｐ（Ω）中存在有界广义解。

This paper discusses the regularity of the solutions for the following Drichlet prob-lem in the generalized Sobolev space.where Ω is a bounded domain in Rn. It is also proved that the above-mentioned problem has finite solutions in W1,p(Ω)and W1,p(Ω).