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

Garain, Prashanta, Kinnunen, Juha

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.

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