论文标题
与公制量度空间中与准线性单数问题有关的变异最小化器的不存在
Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces
论文作者
论文摘要
在本文中,我们考虑了与准线性单数问题有关的变分问题,并获得了不存在的导致度量量度的量度,并具有加倍的措施和庞加莱的不平等。我们的方法纯粹是变异的,据我们所知,这是有关一般度量环境中奇异问题的第一项工作。
In this article we consider a variational problem related to a quasilinear singular problem and obtain a nonexistence result in a metric measure space with a doubling measure and a Poincaré inequality. Our method is purely variational and to the best of our knowledge, this is the first work concerning singular problems in a general metric setting.