In this paper we prove an optimal upper bound for the first eigenvalue of a Robin-Neumann boundary value problem for the p-Laplacian operator in domains with convex holes. An analogous estimate is obtained for the corresponding torsional rigidity problem.

中文翻译：

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带孔区域上非线性特征值和扭转刚度的最优界

在本文中，我们证明了具有凸孔的区域中p -Laplacian算子的Robin-Neumann边值问题的第一特征值的最优上限。针对相应的扭转刚度问题获得了类似的估计。