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对角型蜕化椭圆组解的处处Hlder连续性
Everywhere Holder Continuity of Solutions of degenerate elliptic systems in diagonal form
【摘要】 在G考虑一类对角型蜕化椭圆组,它的最高项系数矩阵的特征值正比例于未知解的模的正幂次。证明在和一致椭圆组同样的小性条件下方程组的有界连续解在G内的Holder连续性。
【Abstract】 Consider on G a degenerate elliptic system in diagonal form of which the characteritic values of the leading coefficient matrix are propotional to a positive power of the modulus of the unknown solution. We prove the everywhere Holder continuity interior to G for bound and continuous solutions under the same smallness conditions as in the case of uniformly elliptic systems.
【关键词】 对角型蜕化椭圆组;
有界解;
连续解和Hlder连续性;
【Key words】 degenerate elliptic system in diagonal form; bounded solution; continuous solution; Holder continuity;
【Key words】 degenerate elliptic system in diagonal form; bounded solution; continuous solution; Holder continuity;
【基金】 广东省自然科学基金
- 【文献出处】 南都学坛 ,ACADEMIC FORUM OF NAN DU , 编辑部邮箱 ,1999年03期
- 【分类号】O175.25
- 【下载频次】12