论文标题

p-laplacian的溶液具有可变的罗宾边界条件的溶液估计值

Isoperimetric estimates for solutions to the p-Laplacian with variable Robin boundary conditions

论文作者

Amato, Vincenzo, Chiacchio, Francesco, Gentile, Andrea

论文摘要

在本文中,我们研究了具有罗宾边界条件的$ p $ - 波森方程,其中robin参数是一个函数。通过一些加权的等值不平等,我们为所考虑的问题提供了各种尖锐的界限。我们还得出了Faber-Krahn型不平等。

In this paper we study the $p$-Poisson equation with Robin boundary conditions, where the Robin parameter is a function. By means of some weighted isoperimetric inequalities, we provide various sharp bounds for the solutions to the problems under consideration. We also derive a Faber-Krahn-type inequality.

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