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Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-05-07 , DOI: 10.1090/proc/15417
Prashanta Garain , Juha Kinnunen

Abstract: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.


中文翻译:

在度量空间中不存在与拟线性奇异问题相关的变分极小值

摘要:在本文中,我们考虑与拟线性奇异问题相关的变分问题,并在具有加倍测度和庞加莱不等式的度量测度空间中获得不存在结果。我们的方法纯粹是变分的,据我们所知,这是关于通用度量设置中奇异问题的第一项工作。
更新日期:2021-06-04
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