论文标题
限制分层同质组的Sobolev和Hardy不平等
Limiting Sobolev and Hardy inequalities on stratified homogeneous groups
论文作者
论文摘要
我们为限制Sobolev和Hardy不平等的条件提供了足够的条件，无法保持分层的均匀群体。在欧几里得的情况下，这种情况减少到已知的取消必要条件。我们在分层均匀的群体上特别获得端点korn-sobolev和korn-hardy不平等。
We give a sufficient condition for limiting Sobolev and Hardy inequalities to hold on stratified homogeneous groups. In the Euclidean case, this condition reduces to the known cancelling necessary and sufficient condition. We obtain in particular endpoint Korn--Sobolev and Korn--Hardy inequalities on stratified homogeneous groups.
