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Tamped functions: A rearrangement in dimension 1
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2021-04-15 , DOI: 10.1016/j.na.2021.112354 Ludovic Godard-Cadillac
中文翻译:
夯实的功能:尺寸1的重新布置
更新日期:2021-04-15
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2021-04-15 , DOI: 10.1016/j.na.2021.112354 Ludovic Godard-Cadillac
We define a new rearrangement, called rearrangement by tamping, for non-negative measurable functions defined on . This rearrangement has many properties in common with the well-known Schwarz non-increasing rearrangement such as the Pólya–Szegő inequality. Contrary to the Schwarz rearrangement, the tamping also preserves the homogeneous Dirichlet boundary condition of a function.
中文翻译:
夯实的功能:尺寸1的重新布置
我们定义了一种新的重排,称为夯实重排,用于定义在 。这种重排具有许多与众所周知的Schwarz非递增重排(例如Pólya–Szegő不等式)相同的属性。与Schwarz重排相反,夯实还保留了函数的齐次Dirichlet边界条件。