摘要
建立了与满足Hrmander条件的向量场相联系的Ljusternik-Schnirelman原理,从而得到Ljusternik-Schnirelman序列的存在性,由此证明了由这组向量场构成的p次椭圆算子的Dirichlet特征值问题的存在性.
The Ljusternik-Schnirelman principle associated with vector fields satisfying the Hormander′scondition is eslablished. Using the principle, the existence of Ljusternik-Schnirelman sequence is proved, then the existence of the Dirichlet eigenvalue problem for p-subelliptic operator which consists of the vector fields mentioned before is given.
出处
《纺织高校基础科学学报》
CAS
2007年第4期388-391,共4页
Basic Sciences Journal of Textile Universities
基金
陕西省自然科学基础研究计划资助项目(2006A09)
