We compute the sum of the negative eigenvalues of a semi-classical version of the Robin Laplace operator. This version of the operator arises naturally from the Laplace operator with a Robin boundary condition and a strong coupling parameter. Viewing the operator from the ‘semi-classical’ angle has allowed for many non-trivial results. In the same vein, this contribution is no exception with the main significance being that the function in the boundary condition satisfies minimal regularity assumptions. Earlier contributions were devoted to the case when the function in the boundary condition is constant.

中文翻译：

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半经典Robin Laplacian的负特征值之和

我们计算Robin Laplace算子的半经典版本的负特征值之和。该运算符的版本自然来自具有Robin边界条件和强耦合参数的Laplace运算符。从“半古典”的角度看待操作员已经获得了许多重要的结果。同样，这种贡献也不例外，其主要意义是边界条件下的函数满足最小规律性假设。当边界条件下的函数为常数时，将做出更早的贡献。