广义Campanato－Morrey空间及其应用

Generalized Campanato-Morrey Spaces and Its Applications

研究了广义ｃａｍｐａｎａｔｏ－Ｍｏｒｒｅｖ空间（Ω）中元素的分解，部分地解决了Ｒａｋｏｔｏｓｏｎ提出的公开问题，并应用该结论证明了主部为ｐ－Ｌａｐｌａｃｅ算子的非线性椭圆方程－ｄｉｖ＝Ｔ，（其中（Ω）．Ｂ（ｘ，ｕ，ｈ）满足自然增长条件或可控增长条件）弱解的正则性．

The decomposition of elements in the generalized campanato-Morrey space(Ω) was studied,thus,answering partially the open problem posed by J.M. Rakotoson;and by using those results,it is proved that -regularity of weak soultions of degenerate el-liptic equation:-div(Ω),B(x,u,h)satisfythe natural growth condition and the controllable growth condition.